Skip to content
Kordu Tools

Matrix Calculator

Perform matrix operations including addition, multiplication, determinant, inverse, transpose, and row echelon form.

Matrix A
3x3
rows
3
cols
Scalar\u00D7 A

Determinant

0

Step-by-Step

Expanding along row 1 of 3x3 matrix

det([0,0; 0,0]) = 0*0 - 0*0 = 0

+ 0 * M(1,1) = + 0 * 0 = 0

det([0,0; 0,0]) = 0*0 - 0*0 = 0

- 0 * M(1,2) = - 0 * 0 = 0

det([0,0; 0,0]) = 0*0 - 0*0 = 0

+ 0 * M(1,3) = + 0 * 0 = 0

Determinant = 0

2 × A

Key Formulae

det(A) = cofactor expansion along any row or column

A⁻¹ = [A|I] row-reduced to [I|A⁻¹] (exists only if det(A) ≠ 0)

(AB)ᵢⱼ = sum of A(i,k) * B(k,j) for k = 1..n

How to use

  1. 1

    Set matrix size

    Use the +/- buttons to adjust the number of rows and columns (2x2 to 6x6).

  2. 2

    Enter values

    Click cells to enter values. Tab between cells. Or paste tab/comma-separated data.

  3. 3

    Choose an operation

    Select an operation (determinant, inverse, transpose, etc.) and see the result.

Frequently asked questions

What is the maximum matrix size?
6x6. This keeps calculations fast and the interface usable.
What if the matrix is singular?
The determinant will be 0 and the inverse will show a warning that the matrix is not invertible.
Can I multiply two matrices?
Yes. Enable two-matrix mode and enter both matrices. The tool checks dimension compatibility.
Is my data sent anywhere?
No. All calculations run in your browser.

Enter matrices using an interactive grid and perform a wide range of

operations. Supports addition, subtraction, multiplication, scalar

multiplication, transpose, determinant, inverse, row echelon form,

and reduced row echelon form. Matrices can be 2x2 up to 6x6 with

adjustable dimensions. Step-by-step solutions for determinant and

inverse. All processing runs in your browser.

Related tools

Scientific Calculator

A full-featured scientific calculator with trigonometry, logarithms, exponents, memory, and calculation history.

Quadratic Equation Solver

Solve ax2 + bx + c = 0 with real or complex roots, step-by-step solution, vertex, and parabola graph.