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Linear AlgebraMediumSingular Values & the SVD

Singular Values & the SVD · Medium problem

Let A=(2112)A = \begin{pmatrix}2 & 1\\1 & 2\end{pmatrix} and let A1=σ1u1v1TA_1 = \sigma_1u_1v_1^{T} be its best rank-one approximation. Find the entry of A1A_1 in row 1, column 2.