4-3-08
Name:
EGM 3344 Introduction to Numerical Methods of Engineering Analysis
THIRD IN-TERM EXAM
In this exam you may use only one 8.5x11” formula page, and a pen or a pencil (
no
computers or calculator
s).. Please sign a pledge that you have not violated any of the
university honesty provisions with regards to this exam.
(1%)_____________________
1.
(8%) Given the matrices
1
1
2
1
A
B
Calculate the products AB and
BA
Solution: AB=[2],
1
2
1
2
BA
2.
Given the two equations
1
2
1
2
4
8
4
6
9
x
x
x
x
, (a) (8%) solve by Gaussian elimination;
(b) (7%) write Matlab code to solve by left division (backslash) operator.
Solution: (a) Subtract first equation times ¼ from second
1
2
2
4
8
4
8
8
x
x
x
Second equation
gives x
2
=1, and then first equation gives x
1
=3.
(b) A=[4 -8; 1 6]; b=[1;8];
x=A\b

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