Eigenvalue Questions [Matrix Algebra]

Adi

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Apr 5, 2019
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Hi math help forum. I have a matrix algebra assignment for a high dimensional data analysis course which I am quite stuck on. I am pretty new to matrix algebra.

For part (a), I so far understand that lambda_tilda will be larger than lambda_hat, since the lambdas denote the variance of their respective linear combinations and the first principle component is the linear combination with greatest variance. Is there anything more I can add to this answer? or am I misunderstanding anything?

Thanks a bunch :)
 

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