Assignment # 2 (Lecture# 9 - 15) Of MTH501 (Spring 2012)
Maximum Marks: 30
Due Date: 25 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 09-15 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
Let 12 1 2
103 2
,, , .
01 5 7
e e y and y
Let T: R2R2 be a linear transformation that maps e1
into y1 and maps e2 into y2. Find the images of 1
2
7.
6
x
and
x
Question: 2 Marks: 10
Using elementary row operations, find the inverse of the following matrix, if it exists.
34 1
10 3
25 4
Question: 3 Marks: 10
Find an LU factorization of the matrix
363
672
170
.
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