WorkedMathGlossary

Glossary

What Is Determinant?

The determinant is a single number computed from a square matrix that reveals whether the matrix has an inverse (a determinant of 0 means it doesn't) and, geometrically, how much a transformation described by the matrix scales area or volume. It's a required step in finding a matrix's inverse.

Example

For the 2×2 matrix [[1, 2], [3, 4]], the determinant is (1×4) − (2×3) = 4 − 6 = −2.

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