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3. Matrices
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Q2 of 108 Page 88

If and, then verify that

(A + B)’ = A’ + B’,


(A+B)’ = A’+B’


Explanation: We will first calculate L.H.S i.e. (A+B)’ and then consecutively we will calculate R.H.S and verify that both are equal.





Therefore,


Now,


So,




From equation 1 & 2 we verify that


(A+B)’ = A’+B’. Hence verified.


More from this chapter

All 108 →
1

Find the transpose of each of the following matrices:

1

Find the transpose of each of the following matrices:

2

If and, then verify that

(A – B)’ = A’– B’

3

If and, then verify that

(A + B). = A’ + B’

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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