There are a number of different ways to find the determinant of a 4 x 4 matrix, but we'll show you how to do it by using expansion along any row or column of a matrix. The first is the determinant of a product of matrices. Theorem 3.2.5: Determinant of a Product. Let A and B be two n × n matrices. Then det (AB) = det (A) det (B) In order to find the determinant of a product of matrices, we can simply take the product of the determinants. Consider the following example. The absolute value of the determinant is retained, but with opposite sign if any two rows or columns are swapped. The easiest practical manual method to find the determinant of a #4xx4# matrix is probably to apply a sequence of the above changes in order to get the matrix into upper triangular form. Then the determinant is just the product of I have a matrix and I'm supposed to find the determinant. I chose to use the method of row reduction into echelon form and then multiplication across the diagonal. I row reduce the matrix but the answer I get is not the same as what my calculator says. I've gone over this 5 times now, and I can't find where I'm making a mistake. Find the triangular matrix and determinant. I have a 4x4 matrix and I want to find the triangular matrix (lower half entries are zero). A = [ 2 − 8 6 8 3 − 9 5 10 − 3 0 1 − 2 1 − 4 0 6] Here are the elementary row operations I performed to get it into triangular form. A = − [1 − 4 0 6 0 3 5 − 8 0 − 12 1 16 0 0 6 − 4] The determinant of a matrix is a value associated with a matrix (or with the vectors defining it), this value is very practical in various matrix calculations. How to calculate a matrix determinant? For a 2x2 square matrix (order 2), the calculation is: .

finding determinant of 4x4 matrix