1 2 3 4 5 6 7 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 A 32 B 32 C 32 D 32 E 32 F 32 G 32 H 32 I 33 34 35 36 37 A 37 B 38 39 40 41 42 43 44 45 46 47 48 49 50 51 A 51 B 51 C 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 68 69 69 70 70 71 71 72 72 73 73 74 74 75 75 76 76 77 77 78 78 79 79 80 80 81 81 82 82 83 83 84 84 85 85 86 86 87 87 88 88 89 89 90 90 91 91 92 92 93 93 94 94 95 95 96 96 97 97 98 98 99 99 100 100 101 101

Q. 633.7( 3 Votes )

If A and B are ma

Class 12th Mathematics - Exemplar 3. Matrices

Answer :

Let C = (AB’ – BA’)

C’ = (AB’ – BA’)’

⇒ C’ = (AB’)’ – (BA’)’

⇒ C’ = (B’)’A’ – (A’)’B’

⇒ C’ = BA’ – AB’

⇒ C’ = -C

∴ C is a skew-symmetric matrix.

Clearly Option (A) matches with our deduction.

∴ Option (A) is the correct.

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