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If A and B are 4x4 matrices, det(A) = -4, det(B) = 3, then (e) det(B^2) = ???,

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johnyyyynnynyn | Student | eNoter

Posted April 28, 2013 at 1:21 AM via web

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

(e) det(B^2) = ???,

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

Posted April 28, 2013 at 5:56 AM (Answer #2)

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`det(B^2)=det(B)det(B)=3cdot3=9`

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mvcdc | Student, Undergraduate | (Level 1) Associate Educator

Posted April 28, 2013 at 11:14 AM (Answer #3)

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Note the solving for determinants is distributive:

Hence, 

I'm sorry. We are solving for `det(B^2)`

Using the same technique, `det(B^2) = det(BB)=det(B)det(B)=[det(B)]^2 = 3^2 = 9`

Sorry, got confused with the numbers.

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