Answer to Question #115677 in Linear Algebra for Sire

Question #115677

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

B)"det(A^4)=(detA)^4=5^4."

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