Matrix Operations

All math tools

Perform various operations on matrices including addition, multiplication, determinants, and inverses.

Input Matrices

Matrix A

Matrix B

Operation Result

Select an operation to see results

About this calculator

Matrix Operations Overview

Matrices can be added, subtracted, and multiplied if their dimensions allow. Square matrices can also have determinants and inverses, which are fundamental in linear algebra.

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Pro Tips

Addition/Subtraction requires identical dimensions.
Multiplication (A·B) requires Cols(A) = Rows(B).
Determinant and Inverse require square matrices.

Fun Facts

"Matrix multiplication is not commutative (A·B ≠ B·A usually)."
"The determinant tells you if a matrix is invertible (non-zero det)."

Formula: A + B, A · B, |A|, A⁻¹