Chapter 5 Useful Matrices Generators
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The document discusses useful matrix generators in MATLAB such as zeros, ones, rand, randn, and eye. It provides examples of generating matrices of zeros, ones, random numbers, and an identity matrix. It also demonstrates indexing and slicing matrices in MATLAB.
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![2/7 …
4
>> a = [1 2 3 ; 4 5 6 ; 7 8 9]
a =1 2 3
4 5 6
7 8 9
>> a(3 , 2)
ans = 8
>> a(2 , :)
ans = 4 5 6
>> a(:,3)
ans = 3
6
9](https://image.slidesharecdn.com/chapter5usefulmatricesgenerators-200504070012/85/Chapter-5-Useful-Matrices-Generators-4-320.jpg)
![3/7 …
5
(ref.Basics of Matlab and Beyond)
>> a = [1 2 3 ; 4 5 6 ; 7 8 9]
a =
1 2 3
4 5 6
7 8 9
>> a(: , : , 2) = a*2
a(: , : , 1) =
1 2 3
4 5 6
7 8 9
a(: , : , 2) =
2 4 6
8 10 12
14 16 18
>> a (: , : ,3) = eye(3)
a(: , : , 3) =
1 0 0
0 1 0
0 0 1](https://image.slidesharecdn.com/chapter5usefulmatricesgenerators-200504070012/85/Chapter-5-Useful-Matrices-Generators-5-320.jpg)
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Chapter 5 Useful Matrices Generators
- 1. MATLAB Developed by Pranoti R. Doke Date: 1 Chapter 5 (Useful Matrices Generators )
- 2. Useful Matrices Generators : 2 Zeros a matrix filled with zeros ones a matrix filled with ones rand a matrix with uniformly distributed random elements randn a matrix with normally distributed random elements eye identity matrix >> a = zeros(2,3) a =0 0 0 0 0 0 >> b = ones(2,2)/2 b = 0.5000 0.5000 0.5000 0.5000 >> u = rand(1,5) u = 0.9218 0.7382 0.1763 0.4057 0.9355
- 3. 1/7 … 3 >> n = randn(5,5) n = -0.4326 1.1909 -0.1867 0.1139 0.2944 -1.6656 1.1892 0.7258 1.0668 -1.3362 0.1253 -0.0376 -0.5883 0.0593 0.7143 0.2877 0.3273 2.1832 -0.0956 1.6236 -1.1465 0.1746 -0.1364 -0.8323 -0.6918 >> eye(3) ans 1 0 0 0 1 0 0 0 1
- 4. 2/7 … 4 >> a = [1 2 3 ; 4 5 6 ; 7 8 9] a =1 2 3 4 5 6 7 8 9 >> a(3 , 2) ans = 8 >> a(2 , :) ans = 4 5 6 >> a(:,3) ans = 3 6 9
- 5. 3/7 … 5 (ref.Basics of Matlab and Beyond) >> a = [1 2 3 ; 4 5 6 ; 7 8 9] a = 1 2 3 4 5 6 7 8 9 >> a(: , : , 2) = a*2 a(: , : , 1) = 1 2 3 4 5 6 7 8 9 a(: , : , 2) = 2 4 6 8 10 12 14 16 18 >> a (: , : ,3) = eye(3) a(: , : , 3) = 1 0 0 0 1 0 0 0 1
- 6. Examples to solve : 6 Q). Create 3*3 ones matrix Q). Create 4*4 zeros matrix Q). Calculate rand and randn Q). Show 4*4 identity matrix using MATLAB command