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2. Vo = 0 3 4 217 v1 = 1 1 2 17 (a) Find a basis for R4 that includes vo and v1. (b)

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2. Vo = 0 3 4 217 v1 = 1 1 2 17 (a) Find a basis for R4 that includes vo and v1. (b) Using the results of part (a) find an orthonormal basis {wo, w1, W2, w3} for RA. In your basis, wo should be parallel to vo and {wo, w1} should span the same subspace as {vo, vi }. (c) Let B be your basis from part (b) and B' be the standard basis for RA ({e1, e2, e3, e4}). Write the matrix M that converts from B'-coordinates to B-coordinates. (d) Express 1 2 3 4 in terms of your orthonormal basis from part (b). 3. Eigenvalues

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