6 Let b₁=[2] b₂ = 3 4 [ C₁ = [ ² ] ² ₂ = 1²²] > V = [] (2 13 2 and C = { C₁₂ (₂} Find and consider the bases for R² given by B = { b₁,b₂} a) the change-of-coordinates matrix b) [V] B ; c) [V]c using the results from part a) and b)
6 Let b₁=[2] b₂ = 3 4 [ C₁ = [ ² ] ² ₂ = 1²²] > V = [] (2 13 2 and C = { C₁₂ (₂} Find and consider the bases for R² given by B = { b₁,b₂} a) the change-of-coordinates matrix b) [V] B ; c) [V]c using the results from part a) and b)
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
![6 Let b₁ =[2] b₂ =
[4]
3 J
CI
13
V=
V
-2
9
²₁-[2] 2² =²²] =1²
-2
and consider the bases for
R²
bz
given by B = { b₁,b₂}
and
C = {0₁₂ (₂3
Find
a)
b) [V] b;
part a)
c) [V]c using the results from
a) and b)
the change-of-coordinates matrix
from B to C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44e710c5-82f1-4975-896c-cdeba81321cf%2F6b4c5462-fe02-4ec7-9a10-5607a3f25ef1%2Fwrniyu8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6 Let b₁ =[2] b₂ =
[4]
3 J
CI
13
V=
V
-2
9
²₁-[2] 2² =²²] =1²
-2
and consider the bases for
R²
bz
given by B = { b₁,b₂}
and
C = {0₁₂ (₂3
Find
a)
b) [V] b;
part a)
c) [V]c using the results from
a) and b)
the change-of-coordinates matrix
from B to C
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