Mathematics calculator

Matrix Calculator

Calculate determinant, trace, sum, difference, and product for two 2x2 matrices.

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Calculator

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Results update automatically as soon as enough values are available.

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Result

About this calculator

How it works

2x2 matrices are useful for compact linear transformations, systems of equations, and introductory linear algebra checks.

Formulas

Formulas used

Determinant

det(A) = a11 a22 - a12 a21

Product

AB = rows of A multiplied by columns of B

Worked example

Example calculation

Determinant

For A = [[1,2],[3,4]], det(A) = -2

Guide

How to use this calculator

Enter the requested values. For datasets, separate numbers with commas, spaces, or line breaks.
Choose an operation where the calculator provides a menu.
Read the highlighted answer first, then use the supporting values for checking your work.

Reference

What the results mean

Determinant

A scalar that indicates scaling and invertibility for a square matrix.

Matrix product

The result of row-by-column multiplication.

Assumptions and limits

Before using the result

Results are rounded for readability.
Use the formula and supporting values to check important calculations.
For engineering, finance, or coursework decisions, confirm the required method, units, and significant figures.

FAQ