Consider the following. B = {(0, -1), (1, 1)}, B' = {(-12, 0), (-4, 4)}, -1 [x]g %3D 3. (a) Find the transition matrix from B to B'. p-1 (b) Find the transition matrix from B' to B. P = (c) Verify that the two transition matrices are inverses of each other. Pp-1 = (d) Find the coordinate matrix [x]R, given the coordinate matrix [x]g. [x]g =

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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Consider the following.
B = {(0, –1), (1, 1)}, B' = {(-12, 0), (-4, 4)},
-1
[x]g =
3
(a) Find the transition matrix from B to B'.
p-1
(b) Find the transition matrix from B' to B.
P =
(c) Verify that the two transition matrices are inverses of each other.
Pp-1
(d) Find the coordinate matrix [x]B, given the coordinate matrix [x]g.
[x]g =
Transcribed Image Text:Consider the following. B = {(0, –1), (1, 1)}, B' = {(-12, 0), (-4, 4)}, -1 [x]g = 3 (a) Find the transition matrix from B to B'. p-1 (b) Find the transition matrix from B' to B. P = (c) Verify that the two transition matrices are inverses of each other. Pp-1 (d) Find the coordinate matrix [x]B, given the coordinate matrix [x]g. [x]g =
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