ConverterHub

2×2 Matrix Inverse Calculator

Find the inverse of a 2×2 matrix.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

This calculator finds the inverse of a 2×2 matrix: for A = [[a,b],[c,d]], it computes the determinant (ad − bc) and then A⁻¹ = 1/det × [[d,−b],[−c,a]]. If the determinant is zero, the matrix has no inverse.

Students use it to check linear algebra homework, and it's the same math behind solving systems of two equations, computer graphics transformations (scaling, rotation, shearing), and cryptography exercises like the Hill cipher.

Was this helpful?

Comments (0)

  • Be the first to comment.

Popular calculators

Loan Calculator

Monthly payment, total interest and full amortization schedule.

Percentage Calculator

Percent change, percent of, and ratio calculations.

Discount Calculator

Calculate final price, savings, and discount amount.

BMI Calculator

Body mass index from height and weight (metric or imperial).

Age Calculator

Compute your exact age in years, months and days from a birth date.

Compound Interest Calculator

Calculate the final amount and interest earned with compounding.

All Calculators