Which property of determinant), is illustrated by the equation |9 2 1|= |1 0 4 2

Question

Which property of determinant), is illustrated by the equation |9 2 1|= |1 0 4 2 -16 1 1 -8 6|? If a multiple of a tow is added to another row in a matrix and then the constant is added to a row. the determinant of the matrix is unchanged. If a non-zero constant is added to a row of a matrix. the determinant of the matrix is unchanged. If the two columns of the matrix are interchanged, the determinant of the matrix is unchanged. If a multiple of a row is added to another row of a matrix. the determinant of the matrix is unchanged. If c times a row of a matrixis added to another row of a matrix. the determinant of the matrix is multiplied by c.

Explanation / Answer

-9 times the 1st row of the determinant has been added to its 2nd row.There are no other changes. The value of the determinant remains unchaged as a result of this row operation, because if a multiple of one row is added to another , the determinant remains the same. The answer is option d).

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