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

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bleeeeee | Student | (Level 1) Honors

Posted April 28, 2013 at 1:16 AM via web

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

(a) det(AB) = ??,

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rakesh05 | High School Teacher | (Level 1) Assistant Educator

Posted April 28, 2013 at 5:36 AM (Answer #1)

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We know that `det (AB)=det(A)det(B)`  wher A and B are given square matrices of order nxn.

Given `det(A)=-4, det(B)=3`

So,    `det(AB)=det(A)det(B)=(-4)(3)=-12.`

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