Matrix Calculator
Add, subtract and multiply matrices, and find the determinant, inverse and transpose for 2×2, 3×3 and 4×4 grids. Enter the values and read exact results. A free matrix calculator that runs in your browser, with no sign-up.
- Exact, step-by-step answers
- 100% free
- No sign-up, no app
- Instant as you type
- Works offline after first load
How to use it
- 1
Choose the operation
Pick add, subtract, multiply, determinant, inverse or transpose. The grids adjust to what the operation needs.
- 2
Enter the values
Fill in each cell. For two-matrix operations, the second grid sizes itself to keep the operation valid.
- 3
Read the result
See the resulting matrix or value, computed exactly, with a note when an operation is not possible.
When it comes in handy
Linear algebra homework
Multiply matrices or find a determinant and inverse, with exact values to check your own working against.
Solving systems
Use the inverse of a coefficient matrix as part of solving a system of linear equations.
Graphics and transforms
Combine transformation matrices by multiplying them, or read off a transpose, which comes up in geometry and graphics.
Instant, exact & 100% in your browser
The maths runs right here in your browser, with fractions and whole numbers kept exact rather than rounded along the way. Nothing you type is sent to a server, there is no sign-up and no limit, and once the page has loaded it keeps working even with no connection.
Frequently asked questions
- How do you multiply two matrices?
- Each entry of the result is the dot product of a row from the first matrix and a column from the second, so the first matrix must have as many columns as the second has rows. The calculator checks this and shows the product when the sizes match.
- What is a determinant?
- The determinant is a single number computed from a square matrix that tells you, among other things, whether the matrix can be inverted. A determinant of zero means there is no inverse. The calculator finds it for 2×2, 3×3 and 4×4 grids.
- When does a matrix have no inverse?
- A matrix has no inverse when its determinant is zero, which means its rows or columns are not independent. The calculator reports this case rather than returning a wrong answer, and otherwise shows the exact inverse.
- Does this work offline and is anything sent to a server?
- The calculation runs entirely in your browser, so nothing you type is sent anywhere, and once the page has loaded it keeps working with no connection. There is no sign-up and no limit on how many calculations you make.
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