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1. Let T1,T2 : R3 → R² be given by: T1((x, y, z)) = (3x – 2y + 5z, x + 4y – 7z), and T2((x, y, z)) = (2x + 9z, x – y + 3z). %3D

1. Let T1,T2 : R3 → R² be given by: T1((x, y, z)) = (3x – 2y + 5z, x + 4y – 7z), and T2((x, y, z)) = (2x + 9z, x – y + 3z). %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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1. Let T1, T2 : R³ → R² be given by: T1((x, y, z)) = (3x – 2y + 5z, x + 4y – 7z), and T2((x, y, z)) = (2x + 9z, x – y + 3z).
Transcribed Image Text:1. Let T1, T2 : R³ → R² be given by: T1((x, y, z)) = (3x – 2y + 5z, x + 4y – 7z), and T2((x, y, z)) = (2x + 9z, x – y + 3z).
Similarly, use the definition to find (-4T1)((x, y, z)) directly, and find [-4T|]. Verify that [-4T1] = -4[T1]. е.
Transcribed Image Text:Similarly, use the definition to find (-4T1)((x, y, z)) directly, and find [-4T|]. Verify that [-4T1] = -4[T1]. е.
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