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(Solved) : 1 X 1 2 1 8 Let W Span 101 1 2 Use Gran Schmidt Procedure Taking Vectors Order Given Obtai Q33161958 . . .

-1 and x= | 1 2 1. [8] Let W-Span 101 , | 1 | , | 2 a) Use the Gran-Schmidt procedure (taking the vectors in the order they are given) to obtain an orthonormal basis for W. b) Compute projwx c) Compute perpwx. d) Find a basis for W1 e) Orthogonalize your basis from part d to obtain an orthonormal basis for W1. f) Using your answer to part e, compute projwx. You should be able to check this answer using an answer to a previous part.

Questions c – f.

-1 and x= | 1 2 1. [8] Let W-Span 101 , | 1 | , | 2 a) Use the Gran-Schmidt procedure (taking the vectors in the order they are given) to obtain an orthonormal basis for W. b) Compute projwx c) Compute perpwx. d) Find a basis for W1 e) Orthogonalize your basis from part d to obtain an orthonormal basis for W1. f) Using your answer to part e, compute projwx. You should be able to check this answer using an answer to a previous part. Show transcribed image text

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