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Question

Mathematics Question on Transpose of a Matrix

Let B =[13α 123 αα4]\begin{bmatrix} 1 & 3 & α \\\ 1 & 2& 3 \\\ α & α & 4 \end{bmatrix} , α>2 be the adjoint of a matrix A and |A| = 2, then [α - 2α α] B[α 2α α]\begin{bmatrix} α \\\ -2α \\\ α \end{bmatrix}is equal to

A

0

B

-16

C

16

D

32

Answer

-16

Explanation

Solution

The correct option is(B): -16