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.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...
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