Biomedical Engineering Reference
In-Depth Information
>>
3 * (6
4)
gives
ans
¼ 6
The first calculation is 6
4 and then this result is multiplied by 3.
Trigonometric functions are calculated in MATLAB with the angle in radians. For exam-
ple, to evaluate sin (45 ), we enter
>>
sin (pi/4)
which gives
ans
¼ 0.7071
EXAMPLE PROBLEM A.1
Solve the following set of simultaneous equations for
i 1 ,
...
,
i 5 .
4
i 1 i 2 i 3 i 4 i 5 ¼
240
i 1 þ
8
i 2 i 3 þ
0
i 4 þ
0
i 5 ¼
0
i 1 i 2 þ
5
i 3 i 4 þ
0
i 5 ¼
0
i 1 þ
0
i 2 i 3 þ
5
i 4 i 5 ¼
0
i 1 þ
0
i 2 þ
0
i 3 i 4 þ
8
i 5 ¼
0
Solution
The simultaneous equations are written in matrix format as
Ai
¼
F
with
2
4
3
5
2
4
3
5
2
4
3
5
4
1
1
1
1
i 1
i 2
i 3
i 4
i 5
240
0
0
0
0
18
100
A
¼
1
15
10
;
i
¼
; F
¼
10
15
1
100
18
Column vector
i
is easily solved by using the reverse division operation on the previous equa-
tion, that is,
A
n
Ai
¼
i
¼
A
n
F
The MATLAB commands to solve for
i
are
>>
A
¼
[4
1
1
1
1;
18
100;
1
15
10;
10
15
1;
100
18];
>>
F
¼
[240;0;0;0;0];
>>
i
¼
A\F
Continued
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