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if A is a nth order square matrix then det(5A)=


Ruhi Amber 3rd Mar, 2021
Answer (1)
Subhrajit Mukherjee 3rd Mar, 2021

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)

I hope my answer helps. All the very best for your future endeavors!

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