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31 be the and v2 3 matrix for T: R? 9. Let v, = and let A = R2 relative to the basis B = {v, V2}. a. Find [T(v,)]g and [T(v,)]B- b. Find T(v,) and T(v,). (に) c. Find a formula for T d. Use the formula obtained in (c) to compute T

31 be the and v2 3 matrix for T: R? 9. Let v, = and let A = R2 relative to the basis B = {v, V2}. a. Find [T(v,)]g and [T(v,)]B- b. Find T(v,) and T(v,). (に) c. Find a formula for T d. Use the formula obtained in (c) to compute T

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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9. Let v, = and v, = 3 1 and let A = 31 be the -2 matrix for T: R2 R2 relative to the basis B = {v,,v2}. a. Find [T(v,)]B and [T(v,)]B- 13 b. Find T(v,) and T(v,). c. Find a formula for T d. Use the formula obtained in (c) to compute T
Transcribed Image Text:9. Let v, = and v, = 3 1 and let A = 31 be the -2 matrix for T: R2 R2 relative to the basis B = {v,,v2}. a. Find [T(v,)]B and [T(v,)]B- 13 b. Find T(v,) and T(v,). c. Find a formula for T d. Use the formula obtained in (c) to compute T
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