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12 January, 09:26

If A and B are 2x2 matrices, det (A) = -1, det (B) = 3, then

det (AB) =

det (-2A) =

det (A^T) =

det (B^-1) =

det (B^4) =

+3
Answers (1)
  1. 12 January, 09:52
    0
    det (AB) = det (A) * det (B) = - 3

    det (-2A) = (-2) ^2 * det (A) = - 4

    det (A^T) = det (A) = - 1

    det (B^-1) = 1/det (B) = 1/3

    det (B^4) = det (B) ^4 = 81
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