4. T: R² R², T(x, y) = (x - 2y, 4x), B' = {(2, 1), (-1, 1)}
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. Please solve only Question#4
Transcribed Image Text:Finding a Matrix for a Linear Transformation In
Exercises 1-12, find the matrix A' for T relative to the
basis B'.
1. T: R² →R², T(x, y) = (2x - y, y - x),
B' = {(1, −2), (0, 3)}
2. T: R² →R², T(x, y)
B' = {(1, 2), (0,4)}
3. T: R² →R², T(x, y) = (x + y, 4y),
B' = {(−4, 1), (1, − 1)}
4. T: R² R², T(x, y) = (x - 2y, 4x),
B' = {(−2, 1), (− 1, 1)}
D2 m
=
(2x + y, x - 2y),
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