5. Let uj = (1, 1, 1)", u2 = (1, 2, 2)", u; = (2, 3, 4)". (a) Find the transition matrix corresponding to the change of basis from {e¡, e2, e3} to {u1, U2, u3}. (b) Find the coordinates of each of the following vectors with respect to {u¡, u2, U3}: (ii) (1,1, 2)" (i) (3, 2, 5)" (iii) (2,3, 2)"

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5. Let uj = (1, 1, 1)", u2 = (1, 2, 2)",
uz = (2, 3, 4)".
(a) Find the transition matrix corresponding to the
change of basis from {e1, e2, e3} to {u¡, u2, u3}.
(b) Find the coordinates of each of the following
vectors with respect to {u1, u2, U3}:
(i) (3, 2, 5)"
(iii) (2, 3, 2)"
(ii) (1, 1, 2)"
Transcribed Image Text:5. Let uj = (1, 1, 1)", u2 = (1, 2, 2)", uz = (2, 3, 4)". (a) Find the transition matrix corresponding to the change of basis from {e1, e2, e3} to {u¡, u2, u3}. (b) Find the coordinates of each of the following vectors with respect to {u1, u2, U3}: (i) (3, 2, 5)" (iii) (2, 3, 2)" (ii) (1, 1, 2)"
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