# Linear Equations and Matrices Part 4-Basic Mathematics-Assignment, Exercises for Mathematics. Institute of Mathematical Sciences

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Prof. Karunashankar Sidhu gave this assignment at Institute of Mathematical Sciences for Basic Mathematics course. It includes: Eigenspace, Eigenvalues, Assignments, Echelon, System, Reduced, Matrix, Linear
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Assignment 1

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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