CHAPTER 1: FROM GEOMETRY TO ALGEBRA-1 THE EUCLIDEAN SPACE R


  Applet 1.1
Localized Vector
    Applet 1.2
Addition of Two Vectors
 
Applet 1.3
Associativity of Sum of Vectors
       Applet 1.4
 Scalar Multiplication of Vectors 		 
       Applet 1.5
        Vector Equation of a Line 		 
Applet 1.6
    Vector Equation of a Plane
  Applet 1.7 Midpoints of a Quadrilateral form Parallelogram  
Applet 1.8 Medians of Triangles are Concurrent and Divide Medians in 2:1   		   Applet 1.9
Quiz

CHAPTER 2: SYSTEM OF LINEAR EQUATION

 
     Applet 2.0
      Matrix Addition 		 
Applet 2.0.1
 Matrix Multiplication - I   		 
Applet 2.0.2
 Matrix Multiplication - II
  
  Applet 2.1 Algorithm
 for Row Echelon Form (Demo) 		 
Applet 2.2
 Algorithm for Row Echelon Form 		 
  Applet 2.3
 Inverse Matrix (Demo)
  Applet 2.4
Inverse of Matrix 		 
Applet 2.5
Row Echelon Form 		 
  Applet 2.6
LU Decomposition

CHAPTER 3: RANK OF A MATRIX
   
Applet 3.1
Linear Span of Vectors 		 
Applet 3.2
 Linear Combination of Vectors 		 
  Applet 3.3
 Rank of Matrix

CHAPTER 4: DETERMINANTS

 
  Applet 4.1
 Additive Property of Determinant 		 
Applet 4.2  Multiplicative
Property of Determinant 		 
Applet 4.3
 Determinant for 3*3 Matrix

CHAPTER 5: VECTOR SPACES , BASES AND DIMENSIONS

 
  Applet 5.1
 Linear Span of Vectors 		 
Applet 5.2  Linear
Dependence or Independence on R 		 
Applet 5.3 Co-ordinates
 with respect to Change of Basis

CHAPTER 6: LINEAR TRANSFORMATIONS

  
Applet 6.1
 Linear Transformations 		 
Applet 6.2 Examples
 of Linear Transformations 		 
Applet 6.3 Examples
  of Linear Transformations
  
Applet 6.3 Examples
 of Linear Transformations 		 
Applet 6.5
 Change in Matrix Representation 		 
 

CHAPTER 7: FROM GEOMETRY TO ALGEBRA- II INNER PRODUCT SPACES

  
Applet 7.1
 Inner  Product 		 
Applet 7.2
 Commutative Law of Inner Product 		 
Applet 7.3
 Distributive Law of Inner Product
  
  Applet 7.4 Algorithm
 Cauchy-Schwartz Inequality 		 

  		 
 

CHAPTER 8: ORTHOGONAL PROJECTIONS AND ORTHONORMAL BASIS

 
Applet 8.1
 Constructing Orthonormal Basis 		 
Applet 8.2
 Gram Schmidt Orthonormalisation  
  		 
 

CHAPTER 9: ISOMETRICS AND EIGENVALUES

  
Applet 9.1
 Isometrics of R2 		 
Applet 9.2
 Isometric of R3 		 
Applet 9.3
 Eigen Values and Eigen Vectors

CHAPTER 10: DIAGONALIZATION AND SPECTRAL THEOREM

CHAPTER 11: APPLICATIONS OF DIAGONALIZATION

CHAPTER 12: APPLICATION OF LINEAR TRANSFORMATIONS IN COMPUTER GRAPHICS

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