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determinant

Calculates the determinant of a square real matrix.

Available in version 6.3.0 and later.

Prototype

	function determinant (
		x [*][*] : numeric   
	)

	return_val [1] :  float or double

Arguments

x

A two-dimensional variable of numeric type. The dimension sizes must be the same (i.e. [N][N])

Return value

A scalar of type double if x is type double; otherwise the returned value will be type float.

Description

The determinant of the square (NxN) matrix is calculated using the partial-pivoting Gaussian elimination scheme.

See Also

solve_linsys

Examples

Example 1

   a = (/ (/ 1, 0, 2, -1/) \   ; N=4
        , (/ 3, 0, 0,  5/) \
        , (/ 2, 1, 4, -3/) \
        , (/ 1, 0, 5,  0/) /)

   d = determinant(a)          ; d=30.0