Mathematics · Matrix decompositions

SVD, eigen & polar.

a₁₁ 1.00

a₁₂ 0.50

a₂₁ 0.00

a₂₂ 1.50

Unit circle → ellipse. Semi-axes are the singular values σ₁,σ₂ along the left singular vectors u₁,u₂.

det A—

trace—

rank—

λ₁, λ₂—

σ₁, σ₂—

κ = σ₁/σ₂—

‖A‖_F—

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