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Question: how to show that x=pseudoInverse(A).b gives a solution with the smallest norm

Question:how to show that x=pseudoInverse(A).b gives a solution with the smallest norm

GPY 80 Maple
linear-algebra homework leastsquares
February 10 2015
0

I need to show that the least square solution x that I obtained as x=pseudoinverse(A).b is the solution of Transpose(A).A.x=Transpose(A).b with the smallest norm. I've obtained the norm for the RHS of this expression as well as the norm of x but I'm unsure of how to conclude that this is the lowest possible norm using these values

 
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