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Q13 D of 124 Page 201

For each of the following pairs of matrices A and B, verify that (AB)’ = (B’ A’) :

and


Let us take C = AB




LHS = C’



To find RHS we will find transpose of matrix A and B,


And


RHS = B’A’





LHS = RHS


Hence proved.


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13 B

For each of the following pairs of matrices A and B, verify that (AB)’ = (B’ A’) :

and


13

For each of the following pairs of matrices A and B, verify that (AB)’ = (B’ A’) :

and B = [-2 -1 -4]


14

If show that A’A = I.

15

If matrix A = [1 2 3], write AA’.

Questions · 124
5. Matrices
1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 A 1 B 1 C 1 D 1 E 2 A 2 B 3 A 3 B 3 C 4 5 16 A 6 7 A 7 B 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 1 2 3 4 5 6 7 8 9 10 11 12 13 A 13 B 13 13 D 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
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