Is the equation of $\det(A^{-1}A)$ the same as saying $\det(A^{-1})\det(A)$ ?
Is $\det(A^{-1}A)$ the same as $\det(A^{-1})\det(A)$
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linear-algebra
matrices
determinant
1 Answers
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$\det(AB) = \det(A) \cdot \det(B)$ for any square $A$ and $B$ of equal sizes.
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0Including inverses? – 2017-02-20
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0Yes, surely, inverse matrix is a matrix. – 2017-02-20
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0yes because the inverse of A is just another matrix, it doesn't have anything special , the formula given works for all matrix A and B. – 2017-02-20
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0Thank you! I will mark as answer in 10 minutes when it allows me to. – 2017-02-20