(c) If we let the basis B = {V₁, V2, V3}, what is [Projw (3, 3, 3, 3)]B, that is, the coordinatesof the projection of (3,3,3,3) onto W with respect to the basis B?(d) What is a basis for W-? 3. Let W1 =(1, 1, 0, 1), w₂ = (−1, 1, 0, 0), w3 = = (1, 2,0,0). Let W = Span(w₁, W2, W3(a) Use the Gram-Schmidt process to obtain an orthogonal basis {V₁, V2, V3} for W.(b) What is Projw (3, 3, 3, 3), the orthogonal projection of the vector (3,3,3,3) onto W?

Using the Gram Schmidt orthogonal process:

Answered: (c) If we let the basis B = {V₁, V2,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(c) If we let the basis B = {V₁, V2, V3}, what is [Projw (3,3,3,3)]µ, that is, the coordinates of the projection of (3,3,3,3) onto W with respect to the basis B? (d) What is a basis for W-?