Consider the following. B = ((3,-1, -8), (-2, 1, 8), (-6, 3, 28)}, B' = {(7, 3, -6), (2, 1, -2), (2, 1, -1)}, [x]g = -1 (b) Find the transition matrix from B' to B. 13 4. 77/2 25/2 47/4 P = -15/2 5/2 -9/4 (c) Verify that the two transition matrices are inverses of each other. pp-1 = %3! (d) Find the coordinate matrix [x]g, given the coordinate matrix [x]g [xle=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following.
B = ((3,-1, -8), (-2, 1, 8), (-6, 3, 28)}, B' = {(7, 3, -6), (2, 1, -2), (2, 1, –1)},
[x]g =
-1
(b) Find the transition matrix from B' to B.
13
4.
77/2
25/2
47/4
-15/2
5/2
-9/4
(c) Verify that the two transition matrices are inverses of each other.
pp-1 =
(d) Find the coordinate matrix [x]a, given the coordinate matrix [x]g
[xle =
%3D
Transcribed Image Text:Consider the following. B = ((3,-1, -8), (-2, 1, 8), (-6, 3, 28)}, B' = {(7, 3, -6), (2, 1, -2), (2, 1, –1)}, [x]g = -1 (b) Find the transition matrix from B' to B. 13 4. 77/2 25/2 47/4 -15/2 5/2 -9/4 (c) Verify that the two transition matrices are inverses of each other. pp-1 = (d) Find the coordinate matrix [x]a, given the coordinate matrix [x]g [xle = %3D
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