5. Let B {][4]} {} be bases for R². a) Find the change-of-coordinates matrix from B to C b) Find the change-of-coordinates matrix from C to B and C = 3 c) Compute [x]B, where x = = [³] d) Use the results of parts a) and c) to compute [x]c e) Check the result of part of d) by computing [x]e directly

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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{[3][4]}
{[]} be bases for R².
a) Find the change-of-coordinates matrix from B to C
b) Find the change-of-coordinates matrix from C to B
5. Let B =
and C
3
c) Compute [x], where x = [³]
d) Use the results of parts a) and c) to compute [x]e
e) Check the result of part of d) by computing [x]e directly
Transcribed Image Text:{[3][4]} {[]} be bases for R². a) Find the change-of-coordinates matrix from B to C b) Find the change-of-coordinates matrix from C to B 5. Let B = and C 3 c) Compute [x], where x = [³] d) Use the results of parts a) and c) to compute [x]e e) Check the result of part of d) by computing [x]e directly
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