Suppose L: R2 R3 is defined by L [L(u)] B₁ [L(u)] B₂ vectors of L with respect to each of the given bases. 4 = = Q[*3]-{])}-{C}{;]:}} -X₁. Let B₁ = ↓ 1 ↓↑ + x₂ 2x2 and B₂ = = [3], find [L(u)], and [L(u)],;,, the coordinate be ordered bases for R³. If u =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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X.
x2
vectors of L with respect to each of the given bases.
Suppose L: R2
[L(u)] B₁
[L(u)] B₂
=
=
R³ is defined by L
x₁ + x₂
-X1
2x2.
=
Let B₁
2
5
1
-(CH³)
I
0
4
4
=
and B₂
=
0
1
4
{ CHH
3
9
2
8
be ordered bases for R³. If u =
3
[³].
5
find [L(u)] and [L(u)] the coordinate
B
B₁
1
Transcribed Image Text:X. x2 vectors of L with respect to each of the given bases. Suppose L: R2 [L(u)] B₁ [L(u)] B₂ = = R³ is defined by L x₁ + x₂ -X1 2x2. = Let B₁ 2 5 1 -(CH³) I 0 4 4 = and B₂ = 0 1 4 { CHH 3 9 2 8 be ordered bases for R³. If u = 3 [³]. 5 find [L(u)] and [L(u)] the coordinate B B₁ 1
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