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2. Problem 2 Let A = 2 1 -1 1 -3 -1 1 0 1 1 " W = col(A), and x = 3 -4 -1 2 (a) Find Projw(x). (b) Construct bases for W and Null(AT) and verify that every vector in basis for W is orthogonal to every vector in a basis in Null(AT). (c) Use the Gram-Schmidt process to find an orthogonal basis for W.

2. Problem 2 Let A = 2 1 -1 1 -3 -1 1 0 1 1 " W = col(A), and x = 3 -4 -1 2 (a) Find Projw(x). (b) Construct bases for W and Null(AT) and verify that every vector in basis for W is orthogonal to every vector in a basis in Null(AT). (c) Use the Gram-Schmidt process to find an orthogonal basis for W.

Advanced Engineering Mathematics
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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answer for parts b and c

1 -3 0 -(---) W = col (A), and x = 1 2. Problem 2 Let A = 2 1 1 -1 0 3 -4 2 (a) Find Projw(x). (b) Construct bases for W and Null(AT) and verify that every vector in basis for W is orthogonal to every vector in a basis in Null(A™). (c) Use the Gram-Schmidt process to find an orthogonal basis for W.
Transcribed Image Text:1 -3 0 -(---) W = col (A), and x = 1 2. Problem 2 Let A = 2 1 1 -1 0 3 -4 2 (a) Find Projw(x). (b) Construct bases for W and Null(AT) and verify that every vector in basis for W is orthogonal to every vector in a basis in Null(A™). (c) Use the Gram-Schmidt process to find an orthogonal basis for W.
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