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T(x1, X2, T3, T4) = (x2 + ¤3, 0, 12 + ¤3, Tz + T4) %3D a. Show that whether the following is linear transformation. Prove in detail b. Define the T: Ra->Rº, what is a, and b suppose to be. c. Is T one to one? Onto? Justify

T(x1, X2, T3, T4) = (x2 + ¤3, 0, 12 + ¤3, Tz + T4) %3D a. Show that whether the following is linear transformation. Prove in detail b. Define the T: Ra->Rº, what is a, and b suppose to be. c. Is T one to one? Onto? Justify

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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T(x1, 12, C3, X4) = (x2 + x3, 0, x2 + X3, 13 + T4) a. Show that whether the following is linear transformation. Prove in detail b. Define the T: Ra->R°, what is a, and b suppose to be. c. Is T one to one? Onto? Justify
Transcribed Image Text:T(x1, 12, C3, X4) = (x2 + x3, 0, x2 + X3, 13 + T4) a. Show that whether the following is linear transformation. Prove in detail b. Define the T: Ra->R°, what is a, and b suppose to be. c. Is T one to one? Onto? Justify
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