In Exercises 19 through 24, find the matrix B of the lin- ear transformation T(x) = Ax with respect to the basis B = (01, 02). For practice, solve each problem in three ways: (a) Use the formula B = S-'AS, (b) use a commu- tative diagram (as in Examples 3 and 4), and (c) construct B "column by column."
In Exercises 19 through 24, find the matrix B of the lin- ear transformation T(x) = Ax with respect to the basis B = (01, 02). For practice, solve each problem in three ways: (a) Use the formula B = S-'AS, (b) use a commu- tative diagram (as in Examples 3 and 4), and (c) construct B "column by column."
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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