Assignment # 3 (Lecture# 21 - 30) Of MTH501 (Spring 2012)
Maximum Marks: 20
Due Date: June 18, 2012
INSTRUCTIONS
Please read the following instructions before attempting the solution of this assignment:
• To solve this assignment, you should have good command over 21-30 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
Find a standard basis vector that can be added to the set {v1, v2} to produce a basis for R3 where;
v1 = (-1, 2, 3), v2 = (1, -2, -2)
Question: 2 Marks: 10
Let B = {b1, b2} and C = {c1, c2} be the bases for R2. Find the change-of-coordinates matrix from B to
C, and change-of-coordinates matrix from C to B where;
1111
,,,
8541
1212
bbcc
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