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If each element of as third order determ...

If each element of as third order determinant of value `/_\` is multiplied by 5 then value of the new determinant is (A) `125/_\` (B) `25/_\` (C) `5/_\` (D) `/_\`

A

is multiplied by `r^(3)`.

B

is increased by 3r

C

remains unchanged

D

is multiplied by r

Text Solution

Verified by Experts

The correct Answer is:
D
As we know that if each element of any row (or column) of a determinant is multiplied by the same number, then the value of determinant is multiplied by that number.
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