3. Let B=22and W = span B.(a) Determine the orthogonal complement of W.(b) What is the projection of y onto W?(c) Write y as a sum of a vector in W and the other vector in the orthogonal complement of W.(d) Let T: RR with 7(x)=2proju (x)-x. Determine A, the standard matrix for this transformation.(e) Determine the eigenvalues of A.(f) Determine the corresponding eigenspaces of A.(g) Is A diagonalizable? Could we have determined this without determining the eigenvalues and corre-sponding eigenspaces?

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Answered: [0 (a) Determine the orthogonal…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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[0 (a) Determine the orthogonal complement of W. (b) What is the projection of y onto W? (c) Write y as a sum of a vector in W and the other vector in the orthogonal complement of W. 3. Let B= and W = span B.