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Question: If A is a 3 x 3 matrix and det \((3A) = k\left\{ \det(A) \right\},k =\)...

If A is a 3 x 3 matrix and det (3A)=k{det⁡(A)},k=(3A) = k\left\{ \det(A) \right\},k =

A

9

B

6

C

1

D

27

Answer

27

Explanation

Solution

}{\Rightarrow 3^{3}\det(A) = k\left\{ \det(A) \right\} }{\therefore k = 27}$$