Matrix Calculator
This all-in-one matrix calculator performs the eight most common matrix operations — addition, subtraction, multiplication, determinant, inverse, transpose, power, and scalar multiplication — with full step-by-step solutions for every result, no signup required.
Matrix A — Single-Matrix Operations
Select a size, enter your matrix, then choose an operation
Combine with a Second Matrix
Enter matrix B for two-matrix operations (addition, subtraction, multiplication)
What Is a Matrix Calculator?
A matrix calculator is a tool that performs mathematical operations on rectangular arrays of numbers. It handles common linear algebra tasks such as adding two matrices, multiplying them, computing the determinant, finding the inverse, transposing, raising a matrix to a power, or multiplying by a scalar. Students use matrix calculators to check homework and learn step-by-step procedures, while engineers and scientists use them for quick verification during design and analysis work. This all-in-one calculator combines the eight most frequently needed operations into a single page, so you can switch between them without leaving the tool.
Need Something More Advanced?
If your problem goes beyond the eight operations above, one of these specialized calculators may help:
- Eigenvalue & Eigenvector Calculator — find all eigenvalues via the characteristic polynomial and compute corresponding eigenvectors.
- RREF Calculator — reduce any matrix to reduced row echelon form with every Gaussian elimination step shown.
- Matrix Rank Calculator — find the rank using RREF, with pivot identification and nullity computation.
- SVD Calculator — compute the singular value decomposition A = UΣVᵀ with singular values, rank, and condition number.
- Linear System Solver — solve systems of linear equations Ax = b with Gaussian elimination and consistency detection.