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2. Projection matrices. Show the following are projection matrices, i.e., being symmetric and idempotent. Which linear subspace each of these matrices projects to? What are

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2. Projection matrices. Show the following are projection matrices, i.e., being symmetric and idempotent. Which linear subspace each of these matrices projects to? What are the ranks of these matrices? Here H is the hat matrix from a simple linear regression model with as cases (where the X values are not all equal). (a) In, H (b) In in, (c) H 71.1"

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