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** Assignment # 4 (Lecture# 31 - 35) Of MTH501 (Spring 2012)
**

** Maximum Marks: 20
**

** Due Date: June 27, 2012
**

*INSTRUCTIONS
*

**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
**

**lectures.
**

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**Question: 1 Marks: 10
**

If

4 2 3

1 1 3

2 4 9

*A
*

, 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 .

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