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Linear AlgebraEasySingular Values & the SVD

Singular Values & the SVD · Easy problem

A matrix has singular values 66, 33 and 22. By the Eckart–Young theorem, what is the Frobenius-norm error ∥A−A1∥F\|A - A_1\|_F of its best rank-one approximation A1A_1? Give an exact answer.