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Question

Question: Consider the matrix A, B, C, D with order 2 × 3, 3×4, 4×4, 4×2 respectively. Let x = (a A B g C<sup>...

Consider the matrix A, B, C, D with order 2 × 3, 3×4, 4×4, 4×2 respectively. Let x = (a A B g C2 D)3 where a&g are scalars . Let |x| = k|ABC2D|3, then k is

A

ag

B

a2g2

C

a4g4

D

a6g6

Answer

a6g6

Explanation

Solution

x = (ag ABC2D)3

|x| = | a g ABC2D |3

order of ABC2D is 2×2

|x| = (a2 g 2)3 |ABC2D|3

\ k = a6 g 6