Determinant of 3x3 Matrix

Compute determinant of matrix

Description

The Determinant of 3x3 Matrix block computes the determinant for the input matrix. For related equations, see Algorithms.

Input matrix, specified as a 3-by-3 matrix.

Data Types: double

Determinant, output as a scalar.

Data Types: double

The input matrix has the form of

$A = [\begin{matrix} A_{11} & A_{12} & A_{13} \\ A_{21} & A_{22} & A_{23} \\ A_{31} & A_{32} & A_{33} \end{matrix}]$

The determinant of the matrix has the form of

$d e t (A) = A_{11} (A_{22} A_{33} - A_{23} A_{32}) - A_{12} (A_{21} A_{33} - A_{23} A_{31}) + A_{13} (A_{21} A_{32} - A_{22} A_{31})$

Introduced before R2006a