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Linear AlgebraEasySingular Values & the SVD

Singular Values & the SVD · Easy problem

A 4×44\times 4 matrix AA has singular values 1010, 44, 22 and 11. Let A2A_2 be the best rank-two approximation of AA (the SVD truncated after two terms). Find the spectral-norm error ∥A−A2∥2\|A - A_2\|_2.