Matrix Calculator

Use our free matrix calculator to perform matrix operations: addition, subtraction, multiplication, determinant, transpose, and inverse — all in one tool.

Math

Operation

Matrix A

Matrix B (if needed)

Formula

Perform various matrix operations on one or two matrices. Supports addition (same dimensions), subtraction, multiplication (columns of A = rows of B), determinant (square matrices), transpose, and inverse (non-singular square matrices).

Matrix operations: addition, subtraction, multiplication, determinant, transpose, inverse

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Select an operation.
2Enter Matrix A (rows separated by semicolons, columns by commas).
3Enter Matrix B if needed.
4Click Calculate.

Examples

Add 2×3 matrices

1.Element-wise addition
2.Result: [[8,10,12],[14,16,18]]

Result: 8

Multiply 2×3 × 3×2

1.2×3 times 3×2 → 2×2 result

Result: 58

Determinant of 2×2

1.det = 4×8 − 6×3 = 32−18 = 14

Result: 14

Frequently Asked Questions

Any size up to practical limits (smaller matrices work best).

Flips rows and columns: (Aᵀ)ᵢⱼ = Aⱼᵢ.

A⁻¹ such that A×A⁻¹ = I. Only exists if det ≠ 0.

A matrix with determinant 0 has no inverse.

Rows separated by ; columns by , e.g., '1,2,3;4,5,6'.

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CalculateMe Team

Last updated: 2026-07-14

Matrix Calculator

Formula

How It Works

Examples

Add 2×3 matrices

Multiply 2×3 × 3×2

Determinant of 2×2

Frequently Asked Questions

What sizes are supported?

What is transpose?

What is the inverse?

What does singular mean?

Input format?

Related Calculators

Matrix Calculator

Formula

How It Works

Examples

Add 2×3 matrices

Multiply 2×3 × 3×2

Determinant of 2×2

Frequently Asked Questions

What sizes are supported?

What is transpose?

What is the inverse?

What does singular mean?

Input format?

Related Calculators