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If A and B are 4x4 matrices, det(A) = -4, det(B) = 3, then (d) det(B^-1) = ??,

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jimeeeeeeeeee... | Student | Honors

Posted April 28, 2013 at 1:20 AM via web

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

(d) det(B^-1) = ??,

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

Posted April 28, 2013 at 5:59 AM (Answer #1)

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One property of determinants says

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

Hence we get

`det(B^(-1))=1/(det(B))=1/3` <-- Your solution

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