Coordinate mapping. Hint: you must first define a basis to start this process! ]} {[ ]} 2 2 2 1 an{b,,b,}= span} 1 1 1 Let H= span Let B= 3 5 3 Draw a cat if you agree that H is a subspace of M, and you could say or show why. If not, read Theorem 1 (section 4.1), and see if you see how it applies. 2.x2 Draw a dog if you agree that B is a basis for H you could explain or show why. -11 35 Find [w]a · That is, find Hint: you don't need to do any more work! 78
Coordinate mapping. Hint: you must first define a basis to start this process! ]} {[ ]} 2 2 2 1 an{b,,b,}= span} 1 1 1 Let H= span Let B= 3 5 3 Draw a cat if you agree that H is a subspace of M, and you could say or show why. If not, read Theorem 1 (section 4.1), and see if you see how it applies. 2.x2 Draw a dog if you agree that B is a basis for H you could explain or show why. -11 35 Find [w]a · That is, find Hint: you don't need to do any more work! 78
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
![coordinate mapping. Hint: you must first define a basis to start this process!
(d) Let H 1
}
{[::}{::]}
1 2
1
2
2
1
= span{b,, b.}= span{
Let B =
3
3
Draw a cat if you agree that H is a subspace of M and you could say or show why. If
not, read Theorem 1 (section 4.1), and see if you see how it applies.
2x2
Draw a dog if you agree that ß is a basis for H you could explain or show why.
I
1.
-11
35
Find [w]a. That is, find
Hint: you don't need to do any more work!
0 78
IB](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb055c63f-89a3-4c28-8011-cd1d10eeedf8%2F162597e8-6b60-46a0-ab14-05cfb0305bb4%2Fj8x5go6_processed.png&w=3840&q=75)
Transcribed Image Text:coordinate mapping. Hint: you must first define a basis to start this process!
(d) Let H 1
}
{[::}{::]}
1 2
1
2
2
1
= span{b,, b.}= span{
Let B =
3
3
Draw a cat if you agree that H is a subspace of M and you could say or show why. If
not, read Theorem 1 (section 4.1), and see if you see how it applies.
2x2
Draw a dog if you agree that ß is a basis for H you could explain or show why.
I
1.
-11
35
Find [w]a. That is, find
Hint: you don't need to do any more work!
0 78
IB
Transcribed Image Text::}
-2
1
2
2
1
(a) Write
as a linear combination of the set of matrices
-1
3
Do this "directly" without using a coordinate mapping. That is, solve
1
1
11
-2
+b
which will lead to a system of equations.
%3D
-1
1
2
1
y
(b) Show that the set
does not span V =
:x, y, z eR} by
5
3
finding a vector (a matrix in this case) that is in V but is not in
1
span
1
Please make it clear that (or show why) your vector satisfies
0 5
3.
the given conditions.
Hint: You may use a coordinate mapping, but you need to define your basis and write
clear explanations of your findings.
35
-11
35
1
(c) Let b,
1
-11
b,
and w=
Write
%3D
as a
5
3
78
78
1
linear combination of
2
and
5
2
1
Solve this by using a
3
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