Provide an appropriate response.
-Indicate whether the following statement is If every element of a 9 × 9 matrix is
multiplied by 6, the determinant of the new matrix is 6 times the determinant of the original
matrix.

Question

Provide an appropriate response.
-Indicate whether the following statement is If every element of a 9 × 9 matrix is 
multiplied by 6, the determinant of the new matrix is 6 times the determinant of the original
matrix.

Quizplus · Accepted Answer

When every element of a $n \times n$ matrix is multiplied by a scalar (in this case, 6), the determinant of the new matrix becomes $6^n$ times the determinant of the original matrix. Since the matrix is $9 \times 9$, the determinant of the new matrix is $6^9$ times the determinant of the original matrix, not 6 times.

Provide an Appropriate Response