Question: The least square problem: minimize A x y 2 with respect to x R m where A R n m , y R n .

The least square problem: minimizeAxy2 with respect to xRm where ARnm,yRn.

1) show that the least square solution xLSKer(A)

2) deduce the xLS is the solution of Axy2 that has the smallest (Euclidean) norm.

Thank you for your time and help!

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