div class=ts-pagebuttonPage 1button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page1jpg target=_blank amp-img class=ts-thumb alt=Page 1: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails1jpg width=142 height=106 layout=responsive amp-imga divpTema 2 Espacios Vectorialesp pÁlgebra 1º IECpdivdiv class=ts-pagebuttonPage 2button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page2jpg target=_blank amp-img class=ts-thumb alt=Page 2: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails2jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 3button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page3jpg target=_blank amp-img class=ts-thumb alt=Page 3: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails3jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 4button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page4jpg target=_blank amp-img class=ts-thumb alt=Page 4: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails4jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 5button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page5jpg target=_blank amp-img class=ts-thumb alt=Page 5: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails5jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 6button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page6jpg target=_blank amp-img class=ts-thumb alt=Page 6: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails6jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 7button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page7jpg target=_blank amp-img class=ts-thumb alt=Page 7: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails7jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 8button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page8jpg target=_blank amp-img class=ts-thumb alt=Page 8: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails8jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 9button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page9jpg target=_blank amp-img class=ts-thumb alt=Page 9: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails9jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 10button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page10jpg target=_blank amp-img class=ts-thumb alt=Page 10: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails10jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 11button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page11jpg target=_blank amp-img class=ts-thumb alt=Page 11: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails11jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 12button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page12jpg target=_blank amp-img class=ts-thumb alt=Page 12: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails12jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 13button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page13jpg target=_blank amp-img class=ts-thumb alt=Page 13: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails13jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 14button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page14jpg target=_blank amp-img class=ts-thumb alt=Page 14: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails14jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 15button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page15jpg target=_blank amp-img class=ts-thumb alt=Page 15: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails15jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 16button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page16jpg target=_blank amp-img class=ts-thumb alt=Page 16: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails16jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 17button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page17jpg target=_blank amp-img class=ts-thumb alt=Page 17: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails17jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 18button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page18jpg target=_blank amp-img class=ts-thumb alt=Page 18: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails18jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 19button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page19jpg target=_blank amp-img class=ts-thumb alt=Page 19: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails19jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 20button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page20jpg target=_blank amp-img class=ts-thumb alt=Page 20: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails20jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 21button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page21jpg target=_blank amp-img class=ts-thumb alt=Page 21: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails21jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 22button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page22jpg target=_blank amp-img class=ts-thumb alt=Page 22: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails22jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 23button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page23jpg target=_blank amp-img class=ts-thumb alt=Page 23: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails23jpg width=142 height=106 layout=responsive amp-imga divp�p p�p p�p p�p p�p p�p p�p p�p p�p p�p p¿Sistema Generador ¿Linealmente Independientep pp ≥ dim Vp pp ≤ dim Vp pBASEp pnº vectorespdivdiv class=ts-pagebuttonPage 24button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page24jpg target=_blank amp-img class=ts-thumb alt=Page 24: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails24jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 25button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page25jpg target=_blank amp-img class=ts-thumb alt=Page 25: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails25jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 26button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page26jpg target=_blank amp-img class=ts-thumb alt=Page 26: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails26jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 27button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page27jpg target=_blank amp-img class=ts-thumb alt=Page 27: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails27jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 28button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page28jpg target=_blank amp-img class=ts-thumb alt=Page 28: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails28jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 29button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page29jpg target=_blank amp-img class=ts-thumb alt=Page 29: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails29jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 30button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page30jpg target=_blank amp-img class=ts-thumb alt=Page 30: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails30jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 31button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page31jpg target=_blank amp-img class=ts-thumb alt=Page 31: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails31jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 32button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page32jpg target=_blank amp-img class=ts-thumb alt=Page 32: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails32jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 33button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page33jpg target=_blank amp-img class=ts-thumb alt=Page 33: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails33jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 34button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page34jpg target=_blank amp-img class=ts-thumb alt=Page 34: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails34jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 35button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page35jpg target=_blank amp-img class=ts-thumb alt=Page 35: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails35jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 36button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page36jpg target=_blank amp-img class=ts-thumb alt=Page 36: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails36jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 37button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page37jpg target=_blank amp-img class=ts-thumb alt=Page 37: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails37jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 38button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page38jpg target=_blank amp-img class=ts-thumb alt=Page 38: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails38jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 39button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page39jpg target=_blank amp-img class=ts-thumb alt=Page 39: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails39jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 40button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page40jpg target=_blank amp-img class=ts-thumb alt=Page 40: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails40jpg width=142 height=106 layout=responsive amp-imga divdivdiv class=ts-pagebuttonPage 41button div class=ts-image a href=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5page41jpg target=_blank amp-img class=ts-thumb alt=Page 41: Tema 2 - Espacios Vectoriales 2The XlX2-plane as a subspace of A line that is not a vector space 1113 Subespacios vectoriales Definición: Sea V un espacio vectorial sobre K src=https:reader042vdocumentinreader042viewer20220307195b045fee7f8b9a2d518d8710html5thumbnails41jpg width=142 height=106 layout=responsive amp-imga divdiv