Let B = {b,,b,} and C = {c4,c,} be bases for R². Find the change-of-coordinates matrix from B to C and the change-of-coordinates matrix from C to B. %3D - 1 1 b, = b2 = 4. C2 = 2 c = Find the change-of-coordinates matrix from B to C. P = C-B (Simplify your answer.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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{b,.b2}
{c,,C2} be bases for R. Find the change-of-coordinates matrix from B to C and the change-of-coordinates matrix from C to B.
Let B =
and C =
- 1
1
1
1
b =
b2
4
%3D
%3D
, C2
- 3
3
2
Find the change-of-coordinates matrix from B to C.
%3D
C-B
(Simplify your answer.)
Transcribed Image Text:{b,.b2} {c,,C2} be bases for R. Find the change-of-coordinates matrix from B to C and the change-of-coordinates matrix from C to B. Let B = and C = - 1 1 1 1 b = b2 4 %3D %3D , C2 - 3 3 2 Find the change-of-coordinates matrix from B to C. %3D C-B (Simplify your answer.)
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