CHAPTER 1: FROM GEOMETRY TO ALGEBRA-1 THE EUCLIDEAN SPACE R Applet 1.1Localized 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 3.1Linear 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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