if A is nth order square Matrix then the det (5A) is equal to

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if A is nth order square Matrix then the det (5A) is equal to

subhamgupta0200 26th Aug, 2020

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Answer (1)

Prabhav Sharma 26th Aug, 2020

Hello,

If all elements of a row (or column) of a determinant are multiplied by some scalar number k, the value of the new determinant is k times of the given determinant.

Let the determinant of the given matrix be det(A)

When the matrix is multiplied by 5, then det(5A) will be: 5*det(A)

Hope this helps!

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