10) Define T E L(R²) by T(x, y) = (41x + 7y,-20x + 74y). Verify that the matrix of T with respect to basis (1,4), (7,5) is (0 46): 69,
10) Define T E L(R²) by T(x, y) = (41x + 7y,-20x + 74y). Verify that the matrix of T with respect to basis (1,4), (7,5) is (0 46): 69,
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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Question
10
Transcribed Image Text:eigenvalues ofT. Prove that dim E(^1 , T) + ·+ dim E (Am ,T) < dim (range T)
10) Define T E L(R²) by T(x, y) = (41x + 7y, -20x + 74y). Verify that the matrix of T
69
with respect to basis (1,4), (7,5) is ( ):
46
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