Pls help ASAP.
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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Pls help ASAP.
Transcribed Image Text:2. Consider a linear transformation T : R³ → R³ defined by
(8)-
x+ 4y+3
-5y – 4z
5x + 10y + 7z|
T
(a) Find the matrix A for T.
(b) Find a basis for ker(T) and the dim(ker(T)). Then find dim(Im(T)), without finding a
basis for Im(T). (Hint: Read problem 4 from class 28 notes.)
(c) Find a basis for Im(T).
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