Assignment # 1 (Lecture# 1 - 8) Of MTH501 (Spring 2012)
Maximum Marks: 25
Due Date: 12 April, 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
123
123
123
54 3
273 2
271
xx x
xxx
xxx
Question: 2 Marks: 10
Let 12
12
0, 1, 3.
27 5
h
v v and y
For what value(s) of h is
y
in the plane generated by 1
v
and 2
v?
Question: 3 Marks: 5
Find the parametric equation of the line through a and parallel to b
31
,
85
ab
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