Download - Determinants matriks 3x3 metode sarrus
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Determinant of a 2 x 2 Matrix
a b
c d
Jeff Bivin -- LZHS
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Jeff Bivin -- LZHS
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Determinant of a 2 x 2 Matrix
3 5
4 6
Jeff Bivin -- LZHS
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Jeff Bivin -- LZHS
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Determinant of a 2 x 2 Matrix
-4 3
5 2
Jeff Bivin -- LZHS
![Page 7: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/7.jpg)
Jeff Bivin -- LZHS
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Determinant of a 2 x 2 Matrix
8 4
6 5
Jeff Bivin -- LZHS
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Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix
1 3 4
2 1 5
3 6 7
Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix
1 3 4
2 1 5
3 6 7
Augment the determinant with the
first two columns
Jeff Bivin -- LZHS
![Page 12: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/12.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1
2 1 5 2
3 6 7 3
Augment the determinant with the
first two columns
Jeff Bivin -- LZHS
![Page 13: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/13.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
Augment the determinant with the
first two columns
Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
Augment the determinant with the
first two columns
Jeff Bivin -- LZHS
![Page 15: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/15.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
Jeff Bivin -- LZHS
![Page 16: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/16.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
Jeff Bivin -- LZHS
![Page 17: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/17.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 19: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/19.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 20: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/20.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 21: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/21.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 22: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/22.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 23: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/23.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 24: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/24.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 25: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/25.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 26: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/26.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 27: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/27.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 28: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/28.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 29: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/29.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 30: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/30.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 31: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/31.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 32: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/32.jpg)
Determinant of a 3 x 3 Matrix
1 3 4 1 3
2 1 5 2 1
3 6 7 3 6
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
7 + 45 + 48 - 12 - 30 - 42= 16
Jeff Bivin -- LZHS
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Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix
2 1 6
4 3 7
5 9 8
Augment the determinant with the
first two columns
Jeff Bivin -- LZHS
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Determinant of a 3 x 3 Matrix
2 1 6 2
4 3 7 4
5 9 8 5
Augment the determinant with the
first two columns
Jeff Bivin -- LZHS
![Page 36: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/36.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2
4 3 7 4
5 9 8 5
Augment the determinant with the
first two columns
Jeff Bivin -- LZHS
![Page 37: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/37.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
Augment the determinant with the
first two columns
Jeff Bivin -- LZHS
![Page 38: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/38.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
Augment the determinant with the
first two columns
Jeff Bivin -- LZHS
![Page 39: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/39.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
Augment the determinant with the
first two columns
Jeff Bivin -- LZHS
![Page 40: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/40.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
Augment the determinant with the
first two columns
Jeff Bivin -- LZHS
![Page 41: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/41.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
Jeff Bivin -- LZHS
![Page 42: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/42.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
Jeff Bivin -- LZHS
![Page 43: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/43.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
1•1•7 + 3•5•3 + 4•2•6 - 3•1•4 - 6•5•1 - 7•2•3
Jeff Bivin -- LZHS
![Page 44: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/44.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 45: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/45.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 46: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/46.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 47: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/47.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 48: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/48.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 49: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/49.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 50: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/50.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 51: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/51.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 52: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/52.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 53: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/53.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 54: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/54.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 55: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/55.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 56: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/56.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
Jeff Bivin -- LZHS
![Page 57: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/57.jpg)
Determinant of a 3 x 3 Matrix
2 1 6 2 1
4 3 7 4 3
5 9 8 5 9
2•3•8 + 1•7•5 + 6•4•9 - 5•3•6 - 9•7•2 - 8•4•1
48 + 35 + 216 - 90 - 126 - 32= 51
Jeff Bivin -- LZHS
![Page 58: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/58.jpg)
Find the area of the Triangle
1 2 1
5 9 1
9 5 12
1
Use a Determinant
![Page 59: Determinants matriks 3x3 metode sarrus](https://reader035.vdocument.in/reader035/viewer/2022081417/552777c5550346b4358b47c9/html5/thumbnails/59.jpg)
Determinant of a 3 x 3 Matrix
1 2 1 1 2
5 9 1 5 9
9 5 1 9 5
(1•9•1 + 2•1•9 + 1•5•5 - 9•9•1 - 5•1•1 - 1•5•2)
(9 + 18 + 25 - 81 - 5 - 10)
22Jeff Bivin -- LZHS
2
1
21
21
)44(21