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If A and B are 4x4 matrices, det(A) = -4, det(B) = 3, then (c) det(A^T) = ???,

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mikeeeeeee | Student | eNoter

Posted April 28, 2013 at 1:19 AM via web

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If A and B are 4x4 matrices, det(A) = -4, det(B) = 3, then

(c) det(A^T) = ???,

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tiburtius | High School Teacher | (Level 3) Associate Educator

Posted April 28, 2013 at 6:01 AM (Answer #1)

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One of the property of determinants says transposing a matrix does not change determinant. Hence we have

`det(A^T)=det(A)=-4`

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