# Determinant Calculator

> Calculate the determinant of a 2x2 or 3x3 matrix instantly with step-by-step minor expansions.

**URL:** https://www.calculatoranswers.com/determinant-calculator
**Category:** Education

## Quick Answer

Compute the determinant of a 2x2 or 3x3 matrix. Enter your matrix values to see the calculated scalar result and expansion steps.

## Definition

A determinant calculator is a linear algebra tool used to evaluate the determinant of square matrices, specifically of 2x2 and 3x3 sizes. It multiplies diagonal elements and subtracts anti-diagonal products, expanding larger matrices by using minor sub-matrices recursively. The determinant is used to determine matrix invertibility, solve linear equation systems using Cramer's rule, and calculate scaling areas or volumes.

## How to Use

1. **Enter the matrix size** — Select either a 2x2 or 3x3 matrix layout.
2. **Input matrix numbers** — Type the values for each cell in the matrix grid.
3. **Review the determinant** — Check the computed determinant and see the formula expansion.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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