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

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

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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Question

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