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)
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 59CR
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Need answer for b, c, d, e, f. 

 

 

 

 

 

4.2.6. Find an orthonormal basis for the following subspaces of R¹: (a) the span of the vectors
-1
000
(b) the kernel of the matrix
1
1
1
-2
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.
-1
2
2
1
23
1
2
0
-1
2
1
1
});
; (c) the coimage
; (e) the cokernel
Transcribed Image Text:4.2.6. Find an orthonormal basis for the following subspaces of R¹: (a) the span of the vectors -1 000 (b) the kernel of the matrix 1 1 1 -2 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. -1 2 2 1 23 1 2 0 -1 2 1 1 }); ; (c) the coimage ; (e) the cokernel
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