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(Solved): If A,B, and C are 22 matrices; and det(A)=1,det(B)=1, and det(C)=3 then compute: det(2B2C ...

$If \( A, B \), and \( C \) are \( 2 \times 2 \) matrices; and \( \operatorname{det}(A)=-1, \operatorname{det}(B)=1 \), and \($

If

A, B

, and

C

are

2 \times 2

matrices; and

det (A) = ? 1, det (B) = 1

, and

det (C) = ? 3

then compute:

det (2 B^{2} C^{? 1} A^{T} C^{T} B^{3} C^{? 1}) = \frac{2}{3}

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