What is it?
The Matrix Calculator adds, subtracts and multiplies two matrices. It also finds the determinant, inverse and transpose of a matrix.
Who is it for?
Class 12 and college students, engineers and anyone solving systems with matrices.
How to use it
Type Matrix A (one row per line) and Matrix B (one row per line), numbers separated by spaces or commas:
1 2
3 4
Size rules
- Add and subtract: both matrices must be the same size.
- Multiply A × B: the number of columns of A must equal the number of rows of B. A × B is usually not equal to B × A.
- Determinant and inverse: only for square matrices (2×2, 3×3…).
“No inverse”
If the determinant is 0, the matrix is singular and has no inverse. In a system of equations, that means no single solution.
Uses
Solving simultaneous equations (x = A⁻¹b), transformations in graphics, and exam problems. For equations written normally, the Equation Solver is easier.
Worked example
A = [[2, 1], [5, 3]]: determinant 2×3 − 1×5 = 1; inverse [[3, −1], [−5, 2]]. Multiplying A by its inverse gives the identity [[1, 0], [0, 1]], a quick way to check the result.
Errors and how to fix them
- “Every row of A needs the same number of values”: check each line.
- No inverse: the determinant is 0.
Open the tool: Matrix Calculator
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Questions, or an error not listed here?
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