det

Matrix determinant.

📝 Syntax

• res = det(x)

📥 Input argument

• x - a numeric value: scalar or square matrix (double or single)

📤 Output argument

• res - real or complex number (double or single), the determinant base 10.

📄 Description

res = det(x) returns the determinant of square matrix x.

For a $2 \times 2$

matrix: $\det\begin{pmatrix} a & b \\ c & d \end{pmatrix} = ad - bc$

For larger matrices, the determinant can be computed using cofactor expansion: $\det(A) = \sum_{j=1}^{n} (-1)^{i+j} a_{ij} M_{ij}$

where $M_{ij}$

is the minor of element $a_{ij}$

💡 Example

A = [10 -20 40; -50 20 0; 10 0 30]
D = det(A)

🔗 See also

rcond.

🕔 History

Version	📄 Description
1.0.0	initial version