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Consider the following two ordered bases of R³: {(-2, –1, 1), (2, 2, –1), (3, 3, –2)}, {(-2, 1, 1), (2, –2, –1), (5, –3, –2)}. B C a. Find the change of basis matrix from the basis B to the basis C. P = CEB b. Find the change of basis matrix from the basis C to the basis B. P = BEC

Consider the following two ordered bases of R³: {(-2, –1, 1), (2, 2, –1), (3, 3, –2)}, {(-2, 1, 1), (2, –2, –1), (5, –3, –2)}. B C a. Find the change of basis matrix from the basis B to the basis C. P = CEB b. Find the change of basis matrix from the basis C to the basis B. P = BEC

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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Consider the following two ordered bases of R°: {(-2, –1, 1), (2, 2, –1), (3, 3, –2)}, {(-2, 1, 1), (2, –2, –1), (5, –3, –2)}. B a. Find the change of basis matrix from the basis B to the basis C. P CB b. Find the change of basis matrix from the basis C to the basis B. P = B-C
Transcribed Image Text:Consider the following two ordered bases of R°: {(-2, –1, 1), (2, 2, –1), (3, 3, –2)}, {(-2, 1, 1), (2, –2, –1), (5, –3, –2)}. B a. Find the change of basis matrix from the basis B to the basis C. P CB b. Find the change of basis matrix from the basis C to the basis B. P = B-C
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