Lecture 1 
      Matrices and Determinants
    By Kisor Mukhopadhyay, Prabhu Jagatbandhu College, 
                         Module I
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     1.1   Matrices
     1.2   Operations of matrices
     1.3   Types of matrices
     1.4   Properties of matrices
     1.5   Determinants
     1.6   Inverse of a 33 matrix
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     1.1 Matrices
                                    1 3 1
                2  3 7             
               
            A                     
                                 B 2 1 4
               
                1 1 5             
               
                                   
                                    4 7 6
                                   
     Both A and B are examples of matrix. A matrix 
     is a rectangular array of numbers enclosed by a 
     pair of bracket.
                     Why matrix?
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       1.1 Matrices
       Consider the following set of equations:
         xy7,
                       It is easy to show that x = 3 and 
                       y = 4.
         3xy  5.
        
                                      x y2z 7,
                                  
                                   2xy4z2,
       How about solving          
                                  5x4y10z 1,
                                  
                                   3xy 6z 5.
                                  
                      Matrices can help…
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