Determine which property of determinants the equation illustrates. |2 5 4 3 -4 3

Question

Determine which property of determinants the equation illustrates. |2 5 4 3 -4 3 7 4 3| = -|2 5 4 -3 4 -3 7 4 3| If one row of a matrix is a multiple of another row, then the determinant of the matrix is zero If one row of a matrix consists entirely of zeros, then the determinant of the matrix is zero If two columns of a matrix are interchanged, then the determinant of the matrix changes sign. If a row of a matrix is multiplied by a scalar, then the determinant of the matrix is multiplied by that scalar. none of these

Explanation / Answer

Correct option is D.

If a row of a matrix is multiplied by a scalar, then the determinant of the matrix is multiplied by that scalar.

Now in this given example row2 is multiplied with (-1)

determinent of matrix will be multiplied with (-1)

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