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SVD Singular Values of a 2×2 Matrix Calculator

σ₁, σ₂ from [[a,b],[c,d]] via AᵀA eigenvalues.

Computes the two singular values of a real 2×2 matrix from its entries using the eigenvalues of AᵀA.

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Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

σ₁,₂ = √(eigenvalues of AᵀA); σ₁σ₂ = |ad − bc|

In depth

Computes the two singular values of a real 2×2 matrix from its entries using the eigenvalues of AᵀA.