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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Help needed in part B only
![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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47d7a0f8-4e66-40ed-ae66-faa7d8f664d3%2F4eb452c9-a11e-4907-acc8-c1337e89baac%2Frkovuf_processed.jpeg&w=3840&q=75)
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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