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Assignment # 4 (Lecture# 31 - 35) Of MTH501 (Spring 2012)
Maximum Marks: 20
Due Date: June 27, 2012
Please read the following instructions before attempting the solution of this assignment: • To solve this assignment, you should have good command over 31-35 lectures. In order to solve this assignment you have strong concepts about following topics
Introduction to Matrices. Echelon and Reduced Echelon Form. System of Linear Equation. Dependence of Sets.
Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in these
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Question: 1 Marks: 10
4 2 3
1 1 3
2 4 9
, then find a basis for the eigenspace corresponding to 3 .
Question: 2 Marks: 10
If 1 5
2 3 A
, then find the eigenvalues and a basis for each eigenspace in 2 .