B = {(7, 8, 4), (3, 4, 2), (6, 8, 5)}, B' = {(10, 3, 6), (3, 1, 2), (3, 1, 3)}, [x]B' =  1     2 −1 (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]B'. [x]B =                       Back

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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B = {(7, 8, 4), (3, 4, 2), (6, 8, 5)}, B' = {(10, 3, 6), (3, 1, 2), (3, 1, 3)},

[x]B'
1
 
 
2
−1
(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]B'.
[x]B =


       
     
     
 
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