Evaluate the determinant of the given matrix by reducing the matrix to row-echelon form. 3 1 3 1 10 1 1 A = 0 3 1 0 4 2 -5 det(A) = i

Linear Algebra

The determinant of the matrix 0 6 1 0 01 7 -6 30 0 A = = 0 6 00 0 -3 6 -1 3 -1 -4 6 90-6 is Hint: Find a good row or column and expand by minors.

Find the determinant by row reduction to echelon form. 1 5 2 - 3 -1 -2 0 -4 32 0 12 5 11 2 Use row operations to reduce the matrix to echelon form. 1 - 1 5 -4 2 -3 -20 32 0 12 5 11 2