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Singular values via AᵀA

MediumLinear Algebra~6m

What is the largest singular value of A=(3400)A = \begin{pmatrix} 3 & 4 \\ 0 & 0 \end{pmatrix}?

Show hints (2)+
  1. σi=λi(A⊤A)\sigma_i = \sqrt{\lambda_i(A^\top A)}.
  2. A⊤AA^\top A here has eigenvalues 2525 and 00.

Answer

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5 (± 0.01)

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