I have the determinant of a 4x4 matrix I need to solve for uni. I understand that if a row (or column) is the same then det of a matrix will equal zero, however the rows = the columns in this example. So this rule does not apply. I can not see a way to multiply a row or column to get zeros. Find Eigenvalues and Eigenvectors of a Matrix in R Programming - eigen() Function; Get the position of the maximum element in each Row of a Matrix in R Programming - max.col() Function; Finding Inverse of a Matrix in R Programming - inv() Function; Transform the Scaled Matrix to its Original Form in R Programming - Using Matrix Computations 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: this lesson, we will learn how to find the determinant of a 4 x 4 matrix (shortcut m How to calculate determinant of 4×4 matrix? if there is any condition, where determinant could be 0 (for example, the complete row or complete column is 0) if factoring out of any row or column is possible. If the elements of the matrix are the same but reordered on any column or row. Instead, a better approach is to use the Gauss Elimination method to convert the original matrix into an upper triangular matrix. The determinant of a lower or an upper triangular matrix is simply the product of the diagonal elements. Here we show an example. Note that if you had to find the determinant of a 4x4 or bigger matrix, the methods shown here do not scale well. The number of computations required grows a lot. A really nice thing to do is to row reduce the matrix to what is called an upper triangular (means all the entries below the main diagonal are zero). huOps96.

finding determinant of 4x4 matrix