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3. Matrices
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Q3 of 108 Page 88

If and, then verify that

(A – B)’ = A’– B’

(A-B)’ = A’-B’

Explanation: Calculate matrix A by taking transpose of A’ and also find the transpose of matrix B and the solve L.H.S and R.H.S separately and then compare the result.








From equation 1 & 2 we verify that


(A - B)’ = A’ - B’. Hence verified.


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2

If and, then verify that

(A – B)’ = A’– B’

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

(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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