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Find the standard matrix, A, of T.

Find the standard matrix, A, of 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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Suppose T : R² → R² is a vertical sheer linear transformation that maps ēj to ẻ1 – 4ẽ2 but leaves è unchanged. Find the standard matrix, A, of T. A
Transcribed Image Text:Suppose T : R² → R² is a vertical sheer linear transformation that maps ēj to ẻ1 – 4ẽ2 but leaves è unchanged. Find the standard matrix, A, of T. A
Expert Solution
Step 1

Given that T:ℝ2→ℝ2 be a linear transformation such that 

T(e⇀1)=e1⇀-4e2⇀. and T(e⇀2)=e⇀2

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