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Linear AlgebraMediumSingular Values & the SVD

Singular Values & the SVD · Medium problem

For A=(3045)A = \begin{pmatrix}3 & 0\\4 & 5\end{pmatrix}, let u1=(ab)u_1 = \begin{pmatrix}a\\b\end{pmatrix} be the first left singular vector (the one for the largest singular value), with a>0a > 0. Find ba\dfrac{b}{a}.