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Matrix Operation
..
Anan Phonphoemhttp://www.cpe.ku.ac.th/~anan
[email protected]
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Outline
Creating Matrices
Matrix Transpose
Array Addressing Array Functions
Arithmetic Operators
Problem Solving
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Creating Matrices
A =
1 2 3 4 56 7 8 9 10
>>A=[ 1 2 3 4 5; 6 7 8 9 10 ]
>>A=[ 1,2,3,4,5; 6,7,8,9,10 ]
>>A=[1 2 3 4 5
6 7 8 9 10]>>A=[1 2 3
4 56 7 8 9
10]>>A=[ 1:1:5; 6:1:10]
>>A=[ 1:5; 6:10]
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TransposeA =
1 2 3 4 56 7 8 9 10
B =
1 6
2 73 84 95 10
Size of A = 2X5
>>B = AB = ATSize of B = 5X2
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Array AddressingA =
1 2 3 4 5
6 7 8 9 10
>>A(2) 6
>>A(3) 2
>>A(2:5) 6 2 7 3
>>A(:,2) 27
>>A(2,:) 6 7 8 9 10>>B =A(1:2,4:5) 4 5
9 10
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Array FunctionsA =
7 3 12
-1 20 82 9 -40 2 6
>> B = size(A)B = [ 4 3 ]
>> B = max(A)B= [ 7 20 12 ]
>> B = min(A)B= [ -1 2 -4 ]
>> B = sum(A)B= [ 8 34 22 ]
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Array FunctionsB =
7 3 0-1 20 8
2 0 -40 2 6
X =
123124234
Y =
111222333
Z =
7-1232028-46
>> % find non-zero elements>>[X,Y,Z] = find(B)
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Arithmetic OperatorsOperator Description Example
+ Plus S + T+ Unary plus +3- Minus S T- Unary minus -C* Matrix
Multiply S * T.* Array Multiply (member) S .* T/ Left Matrix Divide
(S*INV(T)) S / T./ Left Array Divide S ./ T\ Right Matrix Divide
(INV(S)*T) S \ T.\ Right Array Divide S .\ T^ Matrix Power S ^ 2.^
Array Power S .^ 3
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Element-by-Element Operation10 21 0
3 4-1 5
A= B=
C= A+B = 13 60 5C= A-B = 7 -2
2 -5
C= A+2 = 12 43 2
C= A.*B = 30 8-1 0
C= A./B = 3.3333 0.5000-1.0000 0C= A.\B = 0.3000 2.0000-1.0000
InfC= A.^B= 100 41 0C= A^B= 102 2010 2
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Problem Solving ICar Traveling Trip
1 2 3 4Speed(Km/hr) 80 120 100 130
Time(hr)
2
2.5
5
3
Q1. What is the distance for each trip?Q2. What is the total
distance for all trips?
Q3. What is the average speed?Q4. Which trip spends the maximum
time?
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Problem Solving I>>Speed=[80 120 100 130];>>Time =[2
2.5 5 3 ];
Q1.Speed .* Time= [160 300 500 390]
Q2.Speed * Time = 80(2)+120(2.5)+100(5)+130(3) = 1350
Q3.Average = sum(Speed)/4 = 107.5000
Q4.[MaxTime,Leg]= max(Time);
MaxTime = 5Leg = 3
Car Traveling Trip1 2 3 4
Speed(Km/hr) 80 120 100 130Time(hr) 2 2.5 5 3
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Problem Solving IIManufacturing Cost Analysis
30427Welding52352Milling13236Grinding45630Lathe
Product 3Product 2Product 1Hourly Cost (Baht)ProcessHours
required to produce one unit
Q1. What is the cost for each process to produce one unitof
product 1?
Q2. What is the total cost for each product?Q3.What is the cost
of production for 5xproduct 1,
10xproduct 2, and 3xproduct 3 ?
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Problem Solving II
30427Welding52352Milling13236Grinding45630Lathe
Product 3Product 2Product 1Hourly Cost (Baht)ProcessHours
required to produce one unit
>>hourly_cost=[30 36 52 27];
>>hour1 =[6 2 3 4];Q1. What is the cost for each process
to produce one unit
of product 1?>>process_cost1 = hourly_cost .* hour1;
= [180 72 156 108]
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Problem Solving II>>hourly_cost=[30 36 52
27];>>hour1 =[6 2 3 4];
Q2. What is the total cost for each product?>>hour2 =[5 3
2 0];>>hour3 =[4 1 5 3];>>HOUR =[hour1 hour2
hour3];>>unit_cost = hourly_cost * HOUR;
= [516 362 497]
Q3.What is the cost of production for 5xproduct 1,10xproduct 2,
and 3xproduct 3 ?>>units = [5 10 3];>>Total_cost =
units * unit_cost
= 7691
