Oa + Ob+0c + 4d la + (-1) b+ (-2) c +4d Oa + 1b + (-2) c + 5d la + (-1) b+ (-2) c + 2d 2a + 1b+ (-10) c +4d Then an orthogonal basis for Range(T) would be: Note that if you do not need a basis vector, then write 0 for all entries of that basis vector. For example, if you only need 2 vectors in your basis, then write 0 in all boxes corresponding to the third vector 1) Let T

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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Oa + Ob + 0c +4d
la + (-1) b+ (-2) c +4d
0a+1b+ (-2) c +5d
la + (-1) b + (-2) c + 2d
2a + 1b+ (-10) c +4d
Then an orthogonal basis for Range(T) would be:
Note that if you do not need a basis vector, then write 0 for all entries of that basis vector. For example, if you only need 2 vectors in your basis,
then write 0 in all boxes corresponding to the third vector
1) Let T
a
[25] =
Transcribed Image Text:Oa + Ob + 0c +4d la + (-1) b+ (-2) c +4d 0a+1b+ (-2) c +5d la + (-1) b + (-2) c + 2d 2a + 1b+ (-10) c +4d Then an orthogonal basis for Range(T) would be: Note that if you do not need a basis vector, then write 0 for all entries of that basis vector. For example, if you only need 2 vectors in your basis, then write 0 in all boxes corresponding to the third vector 1) Let T a [25] =
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