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Q3. Let A = -1 10 3 2-2 0-6 4 0 12 (a) Find the null space of A. (b) Let a linear transformation T: R" → R be defined by T() = A. Find n and m. (c) For the linear transformation T defined in part (b) find dim(Ker(T')) and dim(Im(T)).

Q3. Let A = -1 10 3 2-2 0-6 4 0 12 (a) Find the null space of A. (b) Let a linear transformation T: R" → R be defined by T() = A. Find n and m. (c) For the linear transformation T defined in part (b) find dim(Ker(T')) and dim(Im(T)).

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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Q3. Let A = -1 1 2 0 3 -2 0-6 4 0 12 (a) Find the null space of A. (b) Let a linear transformation T: R → R be defined by T() = Au. Find n and m. (c) For the linear transformation T defined in part (b) find dim(Ker(T)) and dim(Im(T)).
Transcribed Image Text:Q3. Let A = -1 1 2 0 3 -2 0-6 4 0 12 (a) Find the null space of A. (b) Let a linear transformation T: R → R be defined by T() = Au. Find n and m. (c) For the linear transformation T defined in part (b) find dim(Ker(T)) and dim(Im(T)).
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