Assertion (A): If every element of a third order determinant of value \( D \) is multiplied by 5....

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Assertion (A): If every element of a third order determinant of value \( D \) is multiplied by 5 , then the value of the new determinant is \( 125 D \).
\( \mathrm{P} \)
Reason (R): If \( k \) is a scalar and \( A \) is an \( n \times n \) matrix, then \( |k A|=k^{n}|A| \)
(A) Both \( \mathrm{A} \) and \( \mathrm{R} \) are true and \( \mathrm{R} \) is the correct explanation of \( \mathrm{A} \)
(B) Both \( \mathrm{A} \) and \( \mathrm{R} \) are true but \( \mathrm{R} \) is not the correct explanation of \( \mathrm{A} \)
(C) \( \mathrm{A} \) is true but \( \mathrm{R} \) is false
(D) \( \mathrm{A} \) is false and \( \mathrm{R} \) is true


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