4.1 Review Worksheet (continued)
Use the following matrices for Exercises 7-11. Evaluate, if possible.
= −
= −
5 2 2 0 0 1
− 0 1 1 2 0 2
4
2 3 3 1 5 0
G
H
J
K
1
=
=
−
2
−
1 2
7. 2 G
8.
9. 2 K − G
10. J − 0.3 G
+ H J
(
)
4.1.2 Multiplying Matrices Tell whether each product is defined. If so, give its dimensions. 11. A 2 × 1 and B 2 × 3 ; AB 12. A 2 × 1 and B 2 × 3 ; BA
13. C 3
and D 5
; CD
× 5
× 1
14. C 3
15. E 7
16. E 7
and D 5
; DC
and F 6
; EF
and F 6
; FE
× 5
× 1
× 7
× 7
× 7
× 7
Use the following matrices for Exercises 17-21. Find each product, if possible.
= −
4 1 2
− 3 0 7 2 0 1
− 2 3 4 1 1 1 4 1 3 −
1 0 0 0 1 0 0 0 1
−
−
A
B
C
I
=
=
=
17. AB
18. CA
19. CB
20. IC
21. CI
22. A pet stroller comes in two sizes. Two stores have inventories as shown in the first table. Find the total cost of the pet strollers for each store. Pet Stroller Profits Revenue ($) Store Cost ($) Profit ($ ) Standard 130 75 55 Large 190 110 80 Pet Stroller Inventory Standard Large Store 1 11 7 Store 2 8 6
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