Tuesday, March 6, 2012

Scalar, Vector and Matrices

SCALAR, VECTOR AND MATRICES

Scalar
 Real Numbers a = 5

Vector


 A collection of numbers arranged in :
  • column (column vector)
  • row (row vector)

 column vector : 
 row vector :


Matrix


 Ordered set of scalars arranged in a  rectangular pattern.


 A=
 


  • Scalar:
>> a = 5 
a =
     5


  • Row vector:
>> b = [1 2 3] 
b =
     1     2     3


  • Column vector:
>> c = [1;2;3] 
c =
1


2


3


  • Matrix:
>> A = [1 2 3; 4 5 6; 7 8 9] 
A =
1     2     3


4     5     6


7     8     9


  • To display number of rows and column of the matrix:
>> size(A) 
ans =
     3     3


>> [row, column] = size(A)
row =
     3
column =
     3 
>> [row, column] = size(c)
row =
     3
column =
     1


  • To list the elements in certain row or column
>> C = A(3 , :) 
C =
     7     8     9


>> D = A(: , 3) 
D =
3


6


9



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