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Hi guys, I'm assuming that I am able to use SVD of X to solve this question. So, X = UΣV where U and V are nxn and pxp orthogonal matrices respectively and Σ is an nxp matrix containing the singular values on the diagonal.
I tried to get the expectation of both sides to show the biases. So RHS of the equation would be (1/λ)E[X'X]+E[β̂]=(1/λ)E[VΣ'ΣV']+E[β̂]. However, I am unable to prove (1/λ)E[VΣ'ΣV'] is not 0. Is this the right way to tackle this question? Any help would be appreciated!