Determinant Calculator
Find det(A) for any n×n matrix with cofactor expansion steps.
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All Matrix Calculators
15+ free tools covering every core linear algebra operation. Every calculator includes step-by-step working, KaTeX rendering, and works on any device.
Core Solvers
Inverse Matrix Calculator
Compute A⁻¹ via Gauss-Jordan elimination with full steps.
Calculate →RREF Calculator
Reduced Row Echelon Form with every row operation shown.
Calculate →Eigenvalue & Eigenvector
Characteristic polynomial, eigenvalues, and eigenvectors.
Calculate →Matrix Rank Calculator
Rank via RREF with pivot identification and nullity.
Calculate →Linear System Solver
Solve Ax=b with consistency detection (unique/infinite/none).
Calculate →Matrix Operations
Matrix Multiplication
A×B with element-by-element dot product computation shown.
Calculate →Transpose Calculator
Aᵀ — swap rows and columns with symmetry detection.
Calculate →Matrix Addition
Add or subtract two matrices element-by-element.
Calculate →Scalar Multiplication
Multiply any matrix by a scalar k with property effects.
Calculate →Matrix Power
Raise any square matrix to any integer power (including negative).
Calculate →Cross Product Calculator
a×b for 3D vectors with determinant expansion and magnitude.
Calculate →Matrix Decompositions
Gram-Schmidt
Orthogonalize and orthonormalize any set of vectors.
Calculate →LU Decomposition
PA=LU factorization with partial pivoting and verification.
Calculate →QR Decomposition
A=QR via Gram-Schmidt. Q orthogonal, R upper triangular.
Calculate →SVD Calculator
A=UΣVᵀ with singular values, rank, and condition number.
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