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