1 3 - 1 3 - 9 -8 Let P = -3 -5 V1 = 4 V2 = 6 and v3 = 2 Complete parts (a) and (b). 4 1 2 7 a. Find a basis fuq, u2, uz} for R° such that P is the change-of-coordinates matrix from fu1, u2, u3) to the basis (v1, v2, V3}. [Hint: What do the columns of C+B P represent?] u, =U, u2 =U u3 =

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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Question
1
3 - 1
- 3
- 9
- 8
Let P =
- 3
- 5
0 , v1
4
V2 =
and v3 =
Complete parts (a) and (b).
%3D
4
1
4
7
a. Find a basis fu1, u2, uz} for R° such that P is the change-of-coordinates matrix from (u,, u2, u3} to the basis (v, V2, V3. [Hint: What do the columns of
С+ В
represent?]
uj =
U2 =U, uz =
%3D
Transcribed Image Text:1 3 - 1 - 3 - 9 - 8 Let P = - 3 - 5 0 , v1 4 V2 = and v3 = Complete parts (a) and (b). %3D 4 1 4 7 a. Find a basis fu1, u2, uz} for R° such that P is the change-of-coordinates matrix from (u,, u2, u3} to the basis (v, V2, V3. [Hint: What do the columns of С+ В represent?] uj = U2 =U, uz = %3D
1
3 - 1
- 3
- 9
- 8
Let P =
- 3
- 5
0 , v1
4
V2 =
and v3 =
Complete parts (a) and (b).
%3D
4
1
4
7
a. Find a basis fu1, u2, uz} for R° such that P is the change-of-coordinates matrix from (u,, u2, u3} to the basis (v, V2, V3. [Hint: What do the columns of
С+ В
represent?]
uj =
U2 =U, uz =
%3D
Transcribed Image Text:1 3 - 1 - 3 - 9 - 8 Let P = - 3 - 5 0 , v1 4 V2 = and v3 = Complete parts (a) and (b). %3D 4 1 4 7 a. Find a basis fu1, u2, uz} for R° such that P is the change-of-coordinates matrix from (u,, u2, u3} to the basis (v, V2, V3. [Hint: What do the columns of С+ В represent?] uj = U2 =U, uz = %3D
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