Determinant of 3x3 Matrix

Compute determinant of matrix

Libraries:
Aerospace Blockset / Utilities / Math Operations

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