In linear algebra, the determinant is a operate that takes a sq. matrix as an enter and produces a single quantity as an output. The determinant is used to resolve techniques of linear equations, to search out eigenvalues and eigenvectors of a matrix, and to compute the quantity of a parallelepiped.
The determinant of a 4×4 matrix might be computed utilizing a wide range of strategies. One technique is to make use of the Laplace enlargement. This technique includes increasing the determinant alongside a row or column of the matrix. For instance, to broaden the determinant alongside the primary row, we might compute the next sum:
