11) Let f: IR4 → IR³ be defined by : IV f(x₁y₁z₁t) = (2x+y-t, x+8y-92- 2t, x-2y + 3z) (a) show that I is a linear mapping.
11) Let f: IR4 → IR³ be defined by : IV f(x₁y₁z₁t) = (2x+y-t, x+8y-92- 2t, x-2y + 3z) (a) show that I is a linear mapping.
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 f: IR4 → 12²³ be defined by
f(x₁Y₁Z₁t) = (2x+y-t, x+8y-92- 2t, x-2y + 3z)
(a) show that fo is a linear mapping.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cd23e71-90ba-481a-b3dc-abda2a1861eb%2F6bdf4148-5ae7-499c-9cb4-2a8bbeb41af4%2Fibzwy7o_processed.png&w=3840&q=75)
Transcribed Image Text:3
1 Let f: IR4 → 12²³ be defined by
f(x₁Y₁Z₁t) = (2x+y-t, x+8y-92- 2t, x-2y + 3z)
(a) show that fo is a linear mapping.
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