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of upper triangular 2 x 2 matrices. a. Find the transition matrix from C to B. T² = Consider the ordered bases B = [M]B = 1 M = -2 2 c. Find M. 5/3 0 4/3 0 -13/ 7/3 3 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = [2] 2/3 -3 -3 -9 3 0 & 0 2113 2117 and = 316 31-139 [3 C= ) for the vector space V

of upper triangular 2 x 2 matrices. a. Find the transition matrix from C to B. T² = Consider the ordered bases B = [M]B = 1 M = -2 2 c. Find M. 5/3 0 4/3 0 -13/ 7/3 3 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = [2] 2/3 -3 -3 -9 3 0 & 0 2113 2117 and = 316 31-139 [3 C= ) for the vector space V

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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of upper triangular 2 x 2 matrices. a. Find the transition matrix from C to B. TB [M] B = Consider the ordered bases B = ( 1 M = -2 2 c. Find M. 5/3 O 4/3 0 -13/ 7/3 2/3 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c -3 -9 CO -3 6 3 1 -3 -2 4 -3 [2]·2² 217²] and C=13][3] 9 0 0 0 0 0 0 -2 -3 0 = ( 3 2 2 -3 0 for the vector space V
Transcribed Image Text:of upper triangular 2 x 2 matrices. a. Find the transition matrix from C to B. TB [M] B = Consider the ordered bases B = ( 1 M = -2 2 c. Find M. 5/3 O 4/3 0 -13/ 7/3 2/3 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c -3 -9 CO -3 6 3 1 -3 -2 4 -3 [2]·2² 217²] and C=13][3] 9 0 0 0 0 0 0 -2 -3 0 = ( 3 2 2 -3 0 for the vector space V
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