Let A be a matrix of order 3 × 3 such that A = 3 . Let B = 3 A - 1 and C = a d j A 2 , then the value of A 2 B 3 C 4 is

Question

Let A be a matrix of order 3 × 3 such that A = 3 . Let B = 3 A - 1 and C = a d j A 2 , then the value of A 2 B 3 C 4 is, 3 16 2 12, 3 2 12, 3 10 2 8, 3 12 2 14

MARKS App · Accepted Answer

B = 3 A - 1 = 3 3 A = 9 C = a d j A 2 = A 2 8 = 9 8 A 2 B 3 C 4 = A 2 × B 3 × C 4 = 3 2 ⋅ 3 6 ⋅ 3 8 2 12 = 3 16 2 12

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