MTH501 Linear Algebra Assignment No 1 Fall Semester 8th November 2012

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MTH501 Linear Algebra Assignment No 1 Fall Semester 8th November 2012


Assignment # 1 (Lecture# 1 - 8) Of MTH501 (Fall 2012)

Maximum Marks: 25
Due Date: November 12, 2012
INSTRUCTIONS

Please read the following instructions before attempting the solution of this assignment:

• To solve this assignment, you should have good command over 01-08 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
Solve the following system of linear equations


Question: 2 Marks: 10

Let For what value(s) of is in the plane generated by and ?
Question: 3 Marks: 5

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Find the value(s) of for which the following vectors are linearly independent.