If, we have any matrix in which one of the row (or column) is multiple of another row (or column) then determinant of such a matrix is equal to zero. We can prove this property by taking example of such a matrix and finding its determinant. It is one of the property of determinants. Therefore, if you see any matrix of the form in which one row (or column) is multiple of another row (0r column) then you can directly right value of its determinant equal to zero.
Let 3x 3 matrix
{One row is multiple of another row in matrix A}
Therefore, we can see that value of determinant of such a matrix is equal to zero. Similarly, we can prove that determinant of matrix
is equal to zero ( In this matrix we have one column multiple of another column).
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