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In Exercises 1-6, the sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA
In Exercises 1-6, the sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA whenever these products exist. (See Example 1.) 1. A is 2 x 2 and B is 2 2. Find each of the following matrix products, if they exist. (See Exam- ples 2 and 3.) 9. 3 4 2][3] 10. [-3 70 [2] 6 2. A is 3 x 3 and B is 3 x 2. 0 -2 2 2 11. 1 5 12. 3. A is 3 x 5 and B is 5 x 3. 5 0 0 2 4. A is 4 X 3 and B is 3 6. 13. 5. A is 4 x 2 and B is 3 X 4. -4 1 14. -3 -9 3 1 30 00 3 2 BHI 3] -5 1 0 0 3-5 7 6. A is 7 x 3 and B is 2 7. 15. 0 1 0 -2 16 7. To find the product matrix AB, the number of be the same as the number of of A must 0 0 1 0-3 4 of B. -8 9 1 0 0 8. The product matrix AB has the same number of as A and 16. 3 -4 0 the same number of 1 0 as B. -1 6
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