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(b) B={(-1,3), (2, -1)} and 8' = {(0, 10), (5,0)} (c) B={(2,5), (-1, -3)} and 3' = {e1, e2} (d) B={(-4,3), (2, -1)} and 3' = {(2, 1), (-4, 1)}

(b) B={(-1,3), (2, -1)} and 8' = {(0, 10), (5,0)} (c) B={(2,5), (-1, -3)} and 3' = {e1, e2} (d) B={(-4,3), (2, -1)} and 3' = {(2, 1), (-4, 1)}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Section 2.5: Number 2(b, d)only!

2. For each of the following pairs of ordered bases ẞ and 3' for R2, find the change of coordinate matrix that changes B'-coordinates into ẞ- coordinates. (a) ẞ= {e1, e2} and ẞ' = {(a1, a2), (b1, b2)} (b) = {(-1,3), (2, -1)} (c) = {(2,5), (-1,-3)} and 3' = {e1, e2} (d) B={(-4, 3), (2, -1)} and 3' and ẞ' = {(0, 10), (5,0)} = {(2, 1), (4, 1)}
Transcribed Image Text:2. For each of the following pairs of ordered bases ẞ and 3' for R2, find the change of coordinate matrix that changes B'-coordinates into ẞ- coordinates. (a) ẞ= {e1, e2} and ẞ' = {(a1, a2), (b1, b2)} (b) = {(-1,3), (2, -1)} (c) = {(2,5), (-1,-3)} and 3' = {e1, e2} (d) B={(-4, 3), (2, -1)} and 3' and ẞ' = {(0, 10), (5,0)} = {(2, 1), (4, 1)}
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