1. Let H be the subspace of RS defined by: 1 1 2 2 3 H = span -2 2 %D 3 -4 4 2 а. Find a basis B of H. What is the dimension of H? -2 b. Show that the vector x = is in H. -8 -10 с. Find the B-coordinate [x]B of x using your basis from part a.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Let H be the subspace of RS defined by:
1
1
2
2
3
H = span
-2
2
%D
3
-4
4
2
а.
Find a basis B of H. What is the dimension of H?
-2
b.
Show that the vector x =
5
is in H.
-8
-10
с.
Find the B-coordinate [x]; of x using your basis from part a.
Transcribed Image Text:1. Let H be the subspace of RS defined by: 1 1 2 2 3 H = span -2 2 %D 3 -4 4 2 а. Find a basis B of H. What is the dimension of H? -2 b. Show that the vector x = 5 is in H. -8 -10 с. Find the B-coordinate [x]; of x using your basis from part a.
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