Consider the following two ordered bases of R³: B = - {(0, 1, 1), (0,2, −1), (1, −2, 1)}, с = {(2, 1, 1), (2, 2, -1), (-3, -2, 1)}. a. Find the change of basis matrix from the basis B to the basis C. [id] = b. Find the change of basis matrix from the basis C to the basis B. [id]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following two ordered bases of R³:
B
=
-
{(0, 1, 1), (0,2, −1), (1, −2, 1)},
с
=
{(2, 1, 1), (2, 2, -1), (-3, -2, 1)}.
a. Find the change of basis matrix from the basis B to the basis C.
[id] =
b. Find the change of basis matrix from the basis C to the basis B.
[id]
Transcribed Image Text:Consider the following two ordered bases of R³: B = - {(0, 1, 1), (0,2, −1), (1, −2, 1)}, с = {(2, 1, 1), (2, 2, -1), (-3, -2, 1)}. a. Find the change of basis matrix from the basis B to the basis C. [id] = b. Find the change of basis matrix from the basis C to the basis B. [id]
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