Let B = {b₁,b₂} and C= ---[-2]·2-[-]- • - ] ~ -[2] b₂ = = 4 3 Find the change-of-coordinates matrix from B to C. b₁ = {C₁,C₂} be bases for R². Find the change-of-coordinates matrix from B to C and the change-of-coordinates matrix from C to B. P = C+B 188 Find the change-of-coordinates matrix from C to B. P = B-C 3 (Simplify your answers.) (Simplify your answers.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let B =
{b₁,b₂}
b₁
1
[~~~]
Find the change-of-coordinates matrix from B to C.
P =
C-B
and C=
= {C₁,C₂} be bases for R². Find the change-of-coordinates matrix from B to C and the change-of-coordinates matrix from C to B.
1
P =
B-C
b₂:
1
(88)
3
(Simplify your answers.)
Find the change-of-coordinates matrix from C to B.
(Simplify your answers.)
1
2
Transcribed Image Text:Let B = {b₁,b₂} b₁ 1 [~~~] Find the change-of-coordinates matrix from B to C. P = C-B and C= = {C₁,C₂} be bases for R². Find the change-of-coordinates matrix from B to C and the change-of-coordinates matrix from C to B. 1 P = B-C b₂: 1 (88) 3 (Simplify your answers.) Find the change-of-coordinates matrix from C to B. (Simplify your answers.) 1 2
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