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Matrix operations
Calculate matrix sums, differences, and products in both orders.
Linear algebra
Matrix calculator
Add, subtract, and multiply matrices, calculate determinants, transposes, and inverses, and solve linear systems with 2, 3, or 4 unknowns directly in your browser.
Matrices size
Matrix A
Matrix B
Operations with A and B
Operations on A
Current determinant:-1
Solve Ax = b system
Enter the independent vector b. The tool seeks a unique solution for x.
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Determinant and inverse
Calculate determinants, transposes, and inverses without working through the steps manually.
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Ax = b systems
Solve small linear systems using Gaussian elimination.
Frequently asked questions
What sizes of matrices does it admit?
You can work with 2 × 2, 3 × 3 and 4 × 4 square matrices.
What operations can I do between two matrices?
You can add A + B, subtract A − B and multiply A × B or B × A.
Can it calculate the inverse matrix?
Yes. If the matrix is invertible, the tool calculates A⁻¹ using Gauss-Jordan elimination.
Can it solve systems of equations?
Yes. Enter the A coefficients matrix and vector b to solve Ax = b when there is a single solution.
What if the determinant is zero?
The tool will indicate that the matrix has no inverse and that an associated system may not have a unique solution.
Are the data sent to a server?
No. All operations are performed locally in your browser.