4.2.6. Find an orthonormal basis for the following subspaces of R*: (a) the span of the vectors 0·0 ; (b) the kernel of the matrix =1); (c) the coimage 2 1 0 3 2 -1 -2 1 2-4 of the preceding matrix; (d) the image of the matrix 0 0 -2 4 5 of the preceding matrix; (f) the set of all vectors orthogonal to (1, 1, −1, −1)ª. 2 1 -1 (e) the cokernel
4.2.6. Find an orthonormal basis for the following subspaces of R*: (a) the span of the vectors 0·0 ; (b) the kernel of the matrix =1); (c) the coimage 2 1 0 3 2 -1 -2 1 2-4 of the preceding matrix; (d) the image of the matrix 0 0 -2 4 5 of the preceding matrix; (f) the set of all vectors orthogonal to (1, 1, −1, −1)ª. 2 1 -1 (e) the cokernel
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 66E
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