SVD Calculator

Singular Value Decomposition Calculator

Calculate the two singular values of a 2x2 matrix.

Last updated: June 2026 | By Patchworkr Team

Calculation steps
Form A^T A from the matrix.
Find the eigenvalues of A^T A.
Take square roots to get the singular values.
Singular values
5.464986, 0.365966

What Are Singular Values?

Singular values describe how a matrix stretches space in different directions.

How To Use The SVD Calculator

  1. Enter the four values of the 2x2 matrix.
  2. Read the two singular values in the result panel.

Frequently Asked Questions

Why only two values?

A 2x2 matrix has two singular values.

Are they always nonnegative?

Yes. Singular values are always nonnegative.

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