practice a idea41

2
Copyright © by Holt, Rinehart and Winston. Holt Algebra 2 All rights reserved. Name Date Class LESSON 4-1 Practice A Matrices and Data Answer the following questions about matrix K. The first one is done for you. 1. How many rows are in the matrix? 3 2. How many columns are in the matrix? 5 3. What are the dimensions (row x column) of K ? 3 5 4. Look at the entry where the third row meets the fourth column. What is the entry k 34 ? 2.5 5. Find the entry 3.1 in the matrix. What row is 3.1 in? What column? What is the address of the entry 3.1? Row 2; column 4; k 24 6. What are the dimensions of matrices that can be added to or subtracted from K ? Only other 3 5 matrices Use the following matrices for Exercises 7–9. Add or subtract, if possible. A 3 6 5 0 B 12 7 5 9 C 3 6 9 1 5 7 7. A B A B 3 12 6 7 5 5 0 9 15 13 10 9 8. A B 9 1 0 9 Use the following matrices for Exercises 9–10. Evaluate, if possible. D 7 0 3 14 4 6 E 2 4 3 5 6 9 9. 3D 3D 3 • 7 0 3 14 4 6 3 7 3 0 3 3 3 14 3 4 3 6 21 0 9 42 12 18 10. 2E 4 8 6 10 12 18 K 1.2 1.5 1.8 0.7 0.4 2.3 0.7 1.3 3.1 4.5 0.1 5.2 4.8 2.5 3.9

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Page 1: Practice a Idea41

Copyright © by Holt, Rinehart and Winston. Holt Algebra 2All rights reserved.

Name Date Class

LESSON

4-1 Practice AMatrices and Data

Answer the following questions about matrix K.The first one is done for you.

1. How many rows are in the matrix? 3

2. How many columns are in the matrix? 5

3. What are the dimensions (row x column) of K ? 3 � 5

4. Look at the entry where the third row meets the fourth column. What is the entry k 34 ? 2.5

5. Find the entry 3.1 in the matrix. What row is 3.1 in? What column? What is the address of the entry 3.1? Row 2; column 4; k 24

6. What are the dimensions of matrices that can be added to or subtracted from K ?

Only other 3 � 5 matrices

Use the following matrices for Exercises 7–9. Add or subtract, if possible.

A � 3 6

5 0 B �

12 7

5 9 C �

3 6 9

1 5 7

7. A � B A � B � 3 � 12 6 � 7

5 � 5 0 � 9 �

15 13

10 9

8. A � B

�9 �10 �9

Use the following matrices for Exercises 9–10. Evaluate, if possible.

D �

7 0

3 14

4 6

E �

2 4

3 5

6 9

9. 3D 3D � 3 •

7 0

3 14

4 6

3 � 7 � 3 � 0 � 3 � 3 � 3 � 14 �

3 � 4 � 3 � 6 � �

21 0

9 42

12 18

10. 2E

4 8 6 10

12 18

K �

1.2 1.5 1.8 0.7 0.4

2.3 0.7 1.3 3.1 4.5

0.1 5.2 4.8 2.5 3.9

A2_IDEA_PA0401.indd 1A2_IDEA_PA0401.indd 1 4/9/06 3:53:47 PM4/9/06 3:53:47 PMProcess BlackProcess Black

Page 2: Practice a Idea41

Copyright © by Holt, Rinehart and Winston. Holt Algebra 2All rights reserved.

Name Date Class

LESSON

4-1 Practice AMatrices and Data

Answer the following questions about matrix K.The first one is done for you.

1. How many rows are in the matrix? 3

2. How many columns are in the matrix? 5

3. What are the dimensions (row x column) of K ? 3 � 5

4. Look at the entry where the third row meets the fourth column. What is the entry k 34 ? 2.5

5. Find the entry 3.1 in the matrix. What row is 3.1 in? What column? What is the address of the entry 3.1? Row 2; column 4; k 24

6. What are the dimensions of matrices that can be added to or subtracted from K ?

Only other 3 � 5 matrices

Use the following matrices for Exercises 7–9. Add or subtract, if possible.

A � 3 6

5 0 B �

12 7

5 9 C �

3 6 9

1 5 7

7. A � B A � B � 3 � 12 6 � 7

5 � 5 0 � 9 �

15 13

10 9

8. A � B

�9 �10 �9

Use the following matrices for Exercises 9–10. Evaluate, if possible.

D �

7 0

3 14

4 6

E �

2 4

3 5

6 9

9. 3D 3D � 3 •

7 0

3 14

4 6

3 � 7 � 3 � 0 � 3 � 3 � 3 � 14 �

3 � 4 � 3 � 6 � �

21 0

9 42

12 18

10. 2E

4 8 6 10

12 18

K �

1.2 1.5 1.8 0.7 0.4

2.3 0.7 1.3 3.1 4.5

0.1 5.2 4.8 2.5 3.9

A2_IDEA_PA0401.indd 1A2_IDEA_PA0401.indd 1 4/9/06 3:53:39 PM4/9/06 3:53:39 PM