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Matrix Calculator

Perform matrix operations: add, subtract, multiply, transpose, determinant, and scalar multiply. Support for 2x2 and 3x3 matrices.

Matrix Calculator - Perform Matrix Operations Online

Matrix operations are fundamental in linear algebra, computer graphics, machine learning, and engineering. Our free online matrix calculator supports all essential operations for 2x2 and 3x3 matrices, making it easy to perform calculations that would otherwise require tedious manual work or specialized software.

The calculator supports matrix addition, subtraction, and multiplication, as well as transpose and determinant calculations. You can also perform scalar multiplication to scale all elements of a matrix by a constant value. Each operation follows standard mathematical definitions to ensure accurate results.

Matrix multiplication is perhaps the most commonly needed operation. Unlike regular multiplication, matrix multiplication is not commutative, meaning A times B does not equal B times A in general. Our tool lets you compute both directions and compare results instantly. The determinant function helps you determine whether a matrix is invertible.

Simply select your matrix size, enter values into the grid inputs, choose an operation, and click calculate. The result appears immediately in a clean grid format that you can copy to your clipboard. All computation happens locally in your browser with no data sent to external servers.

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FAQ

What matrix sizes does this calculator support?+
The calculator supports 2x2 and 3x3 square matrices. You can switch between sizes at any time, though changing the size will reset the current values to zero.
What operations are available?+
Available operations include addition (A+B), subtraction (A-B), multiplication (AxB), transpose of A or B, determinant of A or B, and scalar multiplication for both matrices.
Why is matrix multiplication not commutative?+
In matrix multiplication, each element of the result is computed as a dot product of a row from the first matrix and a column from the second. Swapping the matrices changes which rows and columns are combined, generally producing different results.
What does the determinant tell me?+
The determinant is a scalar value that indicates whether a matrix is invertible (non-zero determinant) or singular (zero determinant). It also represents the scaling factor of the linear transformation described by the matrix.
Is my data processed on a server?+
No. All matrix calculations are performed entirely in your browser using JavaScript. No data is sent to any external server, ensuring complete privacy of your work.

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