This leaves me with a "mini matrix", if you will. The determinant of this is the minor of the first element. See that this is exactly what you're doing when you find a cross product, but there's more. What you're actually doing during a cross product is finding the cofactors. The cofactor of an element (symbolized as A) has a formula: Determinant of a 4×4 matrix is a unique number which is calculated using a particular formula. If a matrix order is n x n, then it is a square matrix. Hence, A cofactor corresponds to the minor for a certain entry of the matrix's determinant. To find the cofactor of a certain entry in that determinant, follow these steps: Take the values of i and j from the subscript of the minor, Mi,j, and add them. Take the value of i + j and put it, as a power, on −1; in other words, evaluate (−1)i+j. Calculator for 4x4 determinants Online Calculator for Determinant 4x4. The online calculator calculates the value of the determinant of a 4x4 matrix with the Laplace expansion in a row or column and the gaussian algorithm. Determinant 4x4. det A = | a 1 1 a 1 2 a 1 3 a 1 4 a 2 1 a 2 2 a 2 3 a 2 4 a 3 1 a 3 2 a 3 3 a 3 4 a 4 1 a 4 2 a 4 3 a 4 4 Abstract. In this paper we will present a new method to compute the determinants of a 4 × 4 matrix. This new method gives the same result as other methods, used before, but it is more suitable 3CyAS.

finding determinant of 4x4 matrix