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Consider the following two ordered bases of R3: B {(1, –1, –1), (–1,0, 1), (1, –1, –2)}, C {(2, –1, 1), (2, 0, 1), (3,0, 1)}. %3D 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

Consider the following two ordered bases of R3: B {(1, –1, –1), (–1,0, 1), (1, –1, –2)}, C {(2, –1, 1), (2, 0, 1), (3,0, 1)}. %3D 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

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 R³: {(1, –1, –1), (-1,0, 1), (1, – 1, –2)}, { (2, –1, 1), (2, 0, 1), (3, 0, 1)}. 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
Transcribed Image Text:Consider the following two ordered bases of R³: {(1, –1, –1), (-1,0, 1), (1, – 1, –2)}, { (2, –1, 1), (2, 0, 1), (3, 0, 1)}. 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
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