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Let S be the following subspace of R^4. S spans I, H, H. Give dim(S) and dim(SL). SL is the orthogonal complement of S. (b) Compute Ps and PsL, the projection matrices on S and SL, respectively. What are the relationships between the column spaces and nullspaces of Ps and PsL - i.e., C(Ps), N(Ps), C(Ps-), and N(Ps-). Give orthonormal bases for each of C(Ps), N(Ps), C(Ps1), and N(Ps). Give the eigenvalues of Ps, along with their algebraic and geometric multiplicities.

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ii. Define unit vector. Which vectors are called as orthogonal ... | Filo

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