Singular Values Calculator

Calculate the singular values of a 2x2 matrix from the eigenvalues of A^T A.

Last updated: June 2026 | By Patchworkr Team

Calculation steps

Form A^T A from the 2x2 matrix.

Take the eigenvalues of A^T A.

Singular values = sqrt(eigenvalues) = 5.464986, 0.365966.

Singular values

5.464986, 0.365966

What Are Singular Values?

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

For the matrix [[1, 2], [3, 4]], the calculator returns the two singular values.

Singular values come from sqrt(eigenvalues of A^T A)

The result panel shows both values to six decimals

They are used in stability checks, compression, and many linear algebra workflows.

This version is scoped to a 2x2 matrix so the calculator stays simple and fast.

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