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Matrix Calculator

Perform matrix operations — addition, subtraction, multiplication, transpose, and determinant — on your matrices instantly.

Result

1922
4350

🔒 100% private — calculations run in your browser. Nothing is uploaded.

About the Matrix Calculator

A matrix is a rectangular grid of numbers, and matrix operations are the backbone of linear algebra — used everywhere from computer graphics and machine learning to engineering and economics. Doing them by hand is tedious and error-prone once matrices grow beyond 2×2.

This calculator handles the core operations: addition and subtraction (for matrices of the same size), multiplication (where the columns of the first match the rows of the second), transpose (flipping rows and columns), and the determinant of a square matrix. Enter your values and it returns the result instantly, which is handy for checking homework, verifying code, or speeding up calculations.

Frequently asked questions

When can two matrices be multiplied?⌄

Matrix multiplication is only defined when the number of columns in the first matrix equals the number of rows in the second. The result has the rows of the first and the columns of the second.

What does the determinant tell me?⌄

The determinant is a single number computed from a square matrix. If it's zero, the matrix is singular and has no inverse; a non-zero determinant means the matrix is invertible. It also represents how the matrix scales area or volume.

What is the transpose of a matrix?⌄

The transpose flips a matrix over its diagonal, turning rows into columns and columns into rows. A matrix that equals its own transpose is called symmetric.