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Let A= {a,,a2,a3} and B= {b,.b2.b3} be bases for a vector space V, and suppose b, = 5a, - 3a3, b2 = - a, +6a2, b3 = a, +az+2a3. %3D a. Find the change-of-coordinates matrix from B to A. b. Find [x]A for x = b,-4b2+4b3. a. P = A B -3 b. [x]A = (Simplify your answers.) 口口

Let A= {a,,a2,a3} and B= {b,.b2.b3} be bases for a vector space V, and suppose b, = 5a, - 3a3, b2 = - a, +6a2, b3 = a, +az+2a3. %3D a. Find the change-of-coordinates matrix from B to A. b. Find [x]A for x = b,-4b2+4b3. a. P = A B -3 b. [x]A = (Simplify your answers.) 口口

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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Let A= and B= {b1.b2.b3} be bases for a vector space V, and suppose b, = 5a,- 3a3, b2 = - a, + 6a2, b3 = a, +a2 + 2a3. %3D a. Find the change-of-coordinates matrix from B to A. b. Find [x]A for x = b,-4b2+4b3- a. P = 6. A B 02 b. [x]A = (Simplify your answers.)
Transcribed Image Text:Let A= and B= {b1.b2.b3} be bases for a vector space V, and suppose b, = 5a,- 3a3, b2 = - a, + 6a2, b3 = a, +a2 + 2a3. %3D a. Find the change-of-coordinates matrix from B to A. b. Find [x]A for x = b,-4b2+4b3- a. P = 6. A B 02 b. [x]A = (Simplify your answers.)
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