det

The ‘af.det()’ function in ArrayFire computes the determinant of a square matrix. The determinant is a scalar value that provides important properties of the matrix, such as whether it is invertible. It is a fundamental operation in linear algebra with applications in areas such as system of equations, matrix inversion, and eigenvalue problems.

Function

af.det()

• Python interface to find determinant of a square matrix.

Detailed Description

The ‘af.det()’ function calculates the determinant of a square matrix. The matrix must be square, meaning the number of rows must be equal to the number of columns. The determinant of a matrix is a scalar that can provide information about the matrix, such as its invertibility. If the determinant is zero, the matrix is singular (non-invertible); if it is non-zero, the matrix is invertible.

Function Documentation

af.det()

Syntax:

af.det(matrix)

Parameters:

‘matrix’: A 2D ArrayFire array (matrix) whose determinant is to be calculated. The matrix must be square, i.e., the number of rows must be equal to the number of columns.

Returns:

A scalar value representing the determinant of the input matrix. The type of the result will be the same as the input matrix data type.