Let A,B, and C be 2 x 2 matrices with det A=3, det B=-2, and det C=-2012

Compute

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- Nov 12th 2012, 04:13 PMdumbledorematrix algebra
Let A,B, and C be 2 x 2 matrices with det A=3, det B=-2, and det C=-2012

Compute - Nov 12th 2012, 04:48 PMHallsofIvyRe: matrix algebra
Do you not know that det(AB)= det(A)det(B)? From that it follows that and, in particular . Also, it is easy to see that .