Matrix Calculator

About Matrix Calculator

Matrix Calculator supports six operations on matrices of any size from 2x2 to 6x6: addition, subtraction, multiplication, determinant (square matrices), inverse (square matrices, Gaussian elimination), and transpose. Select matrix dimensions with the row/column controls, fill in values, and the result updates instantly. Errors for dimension mismatch and singular matrices are shown clearly. Addition and subtraction require both matrices to have the same dimensions. Multiplication requires the column count of matrix A to equal the row count of matrix B. Determinant and inverse operations are only available for square matrices, and the inverse shows an error if the matrix is singular (determinant equals zero). The result updates immediately each time you change a cell value or switch operations.

How to use Matrix Calculator

  1. Select an operation from the tab bar (Add, Multiply, etc.)
  2. Set matrix dimensions and enter values in the grid cells
  3. See the result matrix or scalar instantly

Frequently Asked Questions

What matrix sizes are supported?
Matrix dimensions from 2x2 up to 6x6. Each matrix can have independent row and column counts. The calculator validates dimension compatibility for each operation.
How does the inverse work?
The inverse is computed using Gaussian elimination with partial pivoting. If the determinant is zero (singular matrix), the inverse does not exist and an error message is shown.
Why does multiplication require matching dimensions?
Matrix multiplication AxB is only defined when the number of columns in A equals the number of rows in B. The result has the same number of rows as A and the same number of columns as B.
When is a matrix invertible?
A square matrix is invertible only when its determinant is not zero. If the determinant equals zero, the matrix is called singular and has no inverse. The calculator automatically detects this and shows an error message instead of returning an incorrect result.
Why is the supported matrix size limited to 6x6?
Matrix dimensions from 2x2 up to 6x6 cover the majority of linear algebra problems encountered in education and engineering. The size limit keeps the UI manageable and calculations fast while still supporting common use cases.
Is Matrix Calculator free and private?
Yes. Matrix Calculator is completely free with no account required. All calculations run in your browser and nothing is uploaded or stored.
Does Matrix Calculator work on mobile?
Yes. Matrix Calculator is fully responsive and works in all modern browsers on desktop, mobile, and tablet.

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