Question: Question 2. Consider the vectors v1 = U2 = and v3 = OHOOO in R5. Let W = Span({v1, U2, 73}). OOHO a) Find a

Question 2. Consider the vectors v1 = U2 = and v3 = OHOOO in R5. Let W = Span({v1, U2, 73}). OOHO a) Find a basis for W-, the orthogonal complement of W. Explain your calculation briefly. b) Use the Gram-Schmidt process to construct an orthonormal basis for W. c) Find the standard matrix M E R5x5 of the orthogonal projection of R' onto W, Projw : R5 - R5 and explain why the null space of M is exactly WI, Nul(M ) = WI

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