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Let T: R2→R? be a linear transformation such that T (x,X2) = (X1 +x2, 4x, +3x2) . Find x such that T(x) = (7,30). %3D .....

Let T: R2→R? be a linear transformation such that T (x,X2) = (X1 +x2, 4x, +3x2) . Find x such that T(x) = (7,30). %3D .....

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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Let \( T: \mathbb{R}^2 \to \mathbb{R}^2 \) be a linear transformation such that \( T(x_1, x_2) = (x_1 + x_2, 4x_1 + 3x_2) \). Find \( x \) such that \( T(x) = (7, 30) \). \[ x = \Box \]
Transcribed Image Text:Let \( T: \mathbb{R}^2 \to \mathbb{R}^2 \) be a linear transformation such that \( T(x_1, x_2) = (x_1 + x_2, 4x_1 + 3x_2) \). Find \( x \) such that \( T(x) = (7, 30) \). \[ x = \Box \]
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