Answered: A and B are n x n matrices. check…

A and B are n x n matrices. check the true statements below: 1) det(A)det(B) = -det(B^(t)A^(t)) 2) det(A^(-1)) = -det(A)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.3: Matrix Algebra

Problem 80E

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Question

A and B are n x n matrices.

check the true statements below:

1) det(A)det(B) = -det(B^(t)A^(t))

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

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