(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose A and B are 3 x 3 matrices and det A = x ≠ 0 while det B = y. Let

C be the matrix ((2A)^-1 )B <-- (2A) inverse x B

then det C is:

2. Relevant equations

3. The attempt at a solution

det(2A) = 2x, so det 2A inverse = 1/(2x)

det C = y/(2x)...which is not one of the solutions

a) y/8x b) 2xy c) -2y/x d) 2y/x e) 8y/x

what am I missing here?

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# Easy matrix/determinants question

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