guided practice - ABS Community Portal

EXAMPLE 2
on p. 188
for Exs. 10–15
EXAMPLE 4
on p. 190
for Exs. 24–27
ADDING AND SUBTRACTING MATRICES Perform the indicated operation, if
possible. If not possible, state the reason.
5 2 28 10
10 28 12 23
4. F 21 8G 1F 5.
26 3G F 5 23G 2F 3 24G
4
6. F 8
25
1G 2F 2
21G
F
1.2
7. 0.1
6.2
5.3 2.4
4.4 6.1
0.7G1F
8.1
20.6
3.1 8.
21.9G F
8 3
5G1F
5 21
9 21 6 2
4 8 21
0
2G F
7 23 9 2
23 9. 12 5 22 6
24 11G2F 5G 6
MULTIPLYING BY A SCALAR Perform the indicated operation.
21 4
2 0 25
10. 2F 11.
3 26G 23F
4 7 23G
2 23
12. 24F 2
22
5 }
8 11 }
2 7 4G }
22
13. 1.5F5.4 3.4
0
1.6
23G 14. 1 8 12
2G } 20 21 0
2F22
28 10
6 3.1 4.5
15. 22.2F
21 0 2.5
5.5 21.8 6.4G
MATRIX OPERATIONS Use matrices A, B, C, and D to evaluate the matrix
expression.
5 24
A 5F 3 21G
18 212
1.8 21.5 10.6
7.2 0
B 5F C
26 0G 5F D
28.8 3.4 0G 5F 2.1 21.9
25.4
3.3G
16. A 1 B 17. B 2 A 18. 4A 2 B 19. 2 } 3 B
20. C 1 D 21. C 1 3D 22. D 2 2C 23. 0.5C 2 D
SOLVING MATRIX EQUATIONS Solve the matrix equation for x and y.
21 3x 21 218
22x 6 5 21
24. F24 5G 5F 25.
2y 5G F 1
1 28G 2F
8 2x 3 29 13 4
21 2 8 216
26. 2F5 6G 2F 10 24yG 5F 27.
0 16G
4xF
3 6G 5F 224 3yG
28. TAKS REASONING Based on the equation below, what is the value of the
expression 3x 2 2y?
F 2x 0 6.4 0
0.5 20.75G 5F 0.5 3yG
29 4
27 6G 5F 213 yG
A 7.15 B 9.1 C 10.1 D 20.7
29.
5 0
TAKS REASONING Find two matrices A and B such that 2A 2 3B 5F 21 2G.
30. CHALLENGE Find the matrix X that makes the equation true.
25 0 7 28
a. X 1F 4 23G 5F 23 5G 2 3
b. X 2F
23 1 8 29
c. 2X 1F 4 7G 5F 0 10G
11 26
d. 3X2F 8 6
5 0G 5F 21 3G
213 15
2 1G 5F 219 2G
3.5 Perform Basic Matrix Operations 191