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Q5 of 108 Page 88

For the matrices A and B, verify that (AB)’ = B’A’, where

(i)


Explanation: The product of two matrices is defined or possible only if the number of columns of the former matrix is equal to number of rows of the latter matrix.










From equation 1 & 2 we verify that


(AB)’ = B’A’. Hence verified.


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3

If and, then verify that

(A – B)’ = A’– B’

4

Ifand , then find (A + 2B)’

5

For the matrices A and B, verify that (AB)’ = B’A’, where

6

If , then verify that A’ A = I

Questions · 108
3. Matrices
1 2 3 4 4 4 5 5 6 6 6 7 8 9 10 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 4 5 6 7 7 8 9 10 11 12 13 14 14 15 16 17 18 19 19 20 21 22 1 1 1 2 2 3 3 4 5 5 6 6 7 7 8 8 9 10 10 10 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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