Linear Algebra Calculators

Inverse of Matrix Calculator

The calculator will find the inverse of the square matrix using the Gaussian elimination method, with steps shown.

Cross Product Calculator

Online calculator for finding the cross product of two vectors, with steps shown.

Dot (Inner) Product Calculator

Online calculator for finding the dot (inner) product of two vectors, with steps shown.

Matrix Multiplication Calculator

The calculator will find the product of two matrices (if possible), with steps shown. It multiplies matrices of any size up to 10x10.

Matrix Determinant Calculator

The calculator will find the determinant of the matrix (2x2, 3x3, etc.), with steps shown.

Reduced Row Echelon Form (RREF) Caclulator

The calculator will find the row echelon form (simple or reduced - RREF) of the given (augmented) matrix (with variables if needed), with steps shown.

Eigenvalue and Eigenvector Calculator

The calculator will find the eigenvalues and eigenvectors of the given square matrix, with steps shown.

Matrix Calculator

This solver will add, subtract, multiply, divide, and raise to power the two matrices, with steps shown. It will also find the determinant, inverse, rref (reduced row echelon form), null space, rank, eigenvalues and eigenvectors.

Matrix Null Space Calculator

The calculator will find the null space of the given matrix, with steps shown.

Angle between Vectors Calculator

The calculator will find the angle (in radians and degrees) between the two vectors, and will show the work.

Gauss-Jordan Elimination Calculator

The calculator will perform the Gaussian elimination on the given augmented matrix, with steps shown. Complete reduction is available optionally.

Characteristic Polynomial Calculator

The calculator will find the characteristic polynomial of the given matrix, with steps shown.

Cofactor Matrix Calculator

The calculator will find the matrix of cofactors of the given square matrix, with steps shown.

Adjoint Matrix Calculator

The calculator will find the adjoint (adjugate, adjunct) matrix of the given square matrix, with steps shown.

Matrix Transpose Calculator

The calculator will find the transpose of the given matrix, with steps shown.

Diagonalize Matrix Calculator

The calculator will diagonalize the given matrix, with steps shown.