I have been tasked to find a thin singular value decomposition of the transpose of matrix A= [1,1]. I am not able to find how to find an SVD of a single column matrix either in my textbook, notes or online. Any help would be greatly appreciated, as I am completely lost.
2026-03-27 23:48:41.1774655321
Determine the thin SVD of A= [1,1]^T
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You need to find a unit vector $\mathbf u$, a nonnegative number $s$ and a scalar $v$ of modulus 1 such that $\pmatrix{1\\ 1}=\mathbf u s v$. This is by no means a difficult problem.