Consider the following. B = {(20, 2, 4), (8, 1, 2), (24, 3, 7)}, B' = {(-5, 3, -9), (-2, 1, -3), (-6, 3, -8)}, 1 [x]e = 2 (a) Find the transition matrix from B to B'. 20 8 24 2 1 3 p-1 7 (b) Find the transition matrix from B' to B. 20 8. 24

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following.
В 3 { (20, 2, 4), (8, 1, 2), (24, 3, 7)}, в' %3D {(-5, 3, -9), (-2, 1, -3), (-6, 3,
-8)},
[x]g =
2
(a) Find the transition matrix from B to B'.
20
8
24
1
3
p-1
4
(b) Find the transition matrix from B' to B.
20
8
24
2
1
P =
2
7
(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]gB'.
[x]B =
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Transcribed Image Text:Consider the following. В 3 { (20, 2, 4), (8, 1, 2), (24, 3, 7)}, в' %3D {(-5, 3, -9), (-2, 1, -3), (-6, 3, -8)}, [x]g = 2 (a) Find the transition matrix from B to B'. 20 8 24 1 3 p-1 4 (b) Find the transition matrix from B' to B. 20 8 24 2 1 P = 2 7 (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]gB'. [x]B = Need Help? Read It 00 J00 00 00
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