Matrix Determinant & Inverse
Matrix
Determinant
1
Trace
2
Inverse Matrix
FAQ
Everything about matrices
What is the determinant?
The determinant is a scalar associated with a square matrix. If det = 0 the matrix is singular (not invertible). Geometrically it represents the volume scaling factor of the linear transformation.
When is a matrix invertible?
A square matrix is invertible if and only if its determinant is nonzero. In that case it is called non-singular.
What is the determinant of a matrix?
It is the number attached to a square matrix, and it says whether the transformation preserves volume. When it comes to zero the matrix is singular and cannot be inverted at all.
When can a matrix be inverted?
A square matrix has an inverse if and only if its determinant is different from zero. In that case it is called non-singular, and the tool returns the inverse matrix alongside the determinant.
How large a matrix does it handle?
From 2x2 up to 4x4, which covers the cases that come up in exercises and in three dimensional graphics. The coefficients go in the cells and the result updates as soon as they change.