Answer to Question #115679 in Linear Algebra for Sire

Question #115679

A) Suppose A is a 3 x 3 matrix such that det (A) = 1/125 . Find det (5A^-1)

B)Suppose A is a 3 x 3 matrix such that det (A) = 5. Determine det [A^4]

Expert's answer

A) "\\det(5A^{-1})=5^3\\det(A^{-1})=\\frac{5^3}{\\det A}=5^6"

B) "\\det(A^4)=(\\det A)^4=5^4"

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