2×2 Matrix Calculator

Perform operations on 2×2 matrices.

This Matrix Operations Calculator (2×2) allows you to calculate or convert values instantly. It is free, fast, and easy to use.

  • Free Online Tool
  • Instant Results
  • Mobile Friendly
  • No Installation
  • Secure & Private

Understanding This Calculator

Matrix Operations

Formulas for 2×2 Matrix A = [[a, b], [c, d]]

  • Determinant: |A| = ad - bc
  • Inverse: A⁻¹ = (1/|A|) × [[d, -b], [-c, a]]

Example 1

A = [[1, 2], [3, 4]]

  • |A| = (1)(4) - (2)(3) = 4 - 6 = -2
  • Inverse: (-1/2) × [[4, -2], [-3, 1]] = [[-2, 1], [1.5, -0.5]]

How to Use

  • Enter elements of Matrix A.
  • Enter elements of Matrix B.

Frequently Asked Questions

How do I use the Matrix Operations Calculator (2×2)?

Enter your values in the input fields, and the result will appear instantly.

Is this calculator free to use?

Yes, this calculator is 100% free and does not require any registration or subscription.

Is it mobile-friendly?

Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.