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3. Let T: R² R2 be a linear transformation such that T H]-[ = -5x1 + 9x2 4x17x2 Find T-¹.

3. Let T: R² R2 be a linear transformation such that T H]-[ = -5x1 + 9x2 4x17x2 Find T-¹.

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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X1 3. Let T: R2 → R² be a linear transformation such that T X2 = - 5x1 + 9x2 4x₁ - 7x₂ Find T-¹.
Transcribed Image Text:X1 3. Let T: R2 → R² be a linear transformation such that T X2 = - 5x1 + 9x2 4x₁ - 7x₂ Find T-¹.
Expert Solution
Step 1: Given

T:ℝ2→ℝ2 is a linear transformation 

Tx1x2=-5x1+9x24x1-7x2

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