Question: A linear algebra problem. 4. Let up and v2 be non-zero orthogonal vectors in R2. Consider the 2 x 2 projection matrices Py, and Puz.

A linear algebra problem.

4. Let up and v2 be non-zero orthogonal vectors in R2. Consider the 2 x 2 projection matrices Py, and Puz. (a) In terms of v1 and v2, find M orthogonal and A diagonal such that Put + 2Pu, = MAMT. (b) What is Pu, + Poz

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