LINEAR ALGEBRA TOOLKIT


BY SHWETA SRIVASTAVA Y2374 B8 shweta
PRERNA SINGH Y2293 B8 prerna
LINEAR ALGEBRA TOOLKIT

Linear Algebra includes the theory and application of linear systems of equation (briefly called linear systems),linear transformation and eigenvalue problems.Linear algebra makes systematic use of vectors and matrices and to a lesser extent determinants.


FEATURES

  • Eigenvalue/vector operators.
  • Linear equation solvers
  • Linear algebra operators
  • Elementary matrix operator.




    SAMPLE INPUT

         Linear systems of equation
    
  
        3x+y+2z=3 ;
      
        2x-3y-z=-3;
    
        x+2y+z=4  ;
    
        

    
        We make 3 matrices and a determinant for this set of values
    
                                                                        
      x 
                                 
   X= y 
               
      z 
     
                               	          
       
       3
    
   D= -3
    
       4
    


        -1  3  5 
    
adj(A)= -3  1  7 
      
         7 -5 -11
      

    3  1  2
           
DET=2 -3 -1
    
    1  2  1
    

                                                               
  Using X=(1/DET)*adj(A)*D   we get the values of x,y,z  
    


    

    SAMPLE OUTPUT
    
 
  • Linear systems of equation  
                                                                     
                                          
                                         
    x      1                              
                                         
                                          
                                    
  X=y  ==  2                              
    
                                          
      
    z     -1