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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
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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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
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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