00 00 00 00 D00:000- 00 00 00 Consider the following. B = {(5, 2, 8), (2, 1, 4), (-4, -2, -6)}, B' = {(-2, -12, -6), (1, 4, 2), (3, 12, 7)}, %3! %3D [x]g = 3 %3D (a) Find the transition matrix from B to B'. p-1- %3D (b) Find the transition matrix from B' to B. P = 11 (c) Verify that the two transition matrices are inverses of each other. PP-1 %3D (d) Find the coordinate matrix [x]B, given the coordinate matrix [x]g. [x]B =

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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Consider the following.
B = {(5, 2, 8), (2, 1, 4), (-4, –2, -6)},
B' = {(-2, –12, -6), (1, 4, 2), (3, 12, 7)},
[x]B' =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]B =
Transcribed Image Text:00 000 00 000 Consider the following. B = {(5, 2, 8), (2, 1, 4), (-4, –2, -6)}, B' = {(-2, –12, -6), (1, 4, 2), (3, 12, 7)}, [x]B' =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]B =
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