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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Hh2.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F614d5e2e-8a04-4ef9-a31d-d2f8fb345e7f%2F26b8774c-00c3-406b-be93-c24e4dc754ab%2Fy78r2ki_processed.png&w=3840&q=75)
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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