B.E FIRST YEAR 

 

 

Videos for Vector Calculus and Linear Algebra

 

 

Vectors in Rn

 

lec1:Introduction to the Line Integral

 

lec2:Determining the Angle Between Two Vectors

 

lec3:Introduction to Vectors

 

lec4:Gradient

 

lec5:Directional Derivatives

 

lec6:Divergence 1

 

lec7:Curl 1

lec8:Green's Theorem

 

Determinants and rank of a matrix in terms of determinants

 

lec:1: Adjoint of a Matrix

 

lec2:Rank of Matrix by Normal Form

 

lec3:Cramers rule

 

lec4:Introduction of Deteterminants

 

lec5:Introduction to the matrix

 

lec6:Rank of Matrix by Row Echelon

 

lec7:Reduced Row Echelon Form

 

Inner product spaces

 

lec1:Inner product space

 

lec2:Linear Transformation

 

lec3:Rank Nullity Theorem

 

lec:4 The Gram-Schmidt Process

 

Systems of linear equations

 

 

 

lec1: Gauss Elimanation

 

lec2: Gauss Jordan 

lec3:Homogenous Equation

 

lec4: Inverse of matrix 

Eigenvalues and eigenvectors

 

lec1:Introduction to Eigenvalues & Eigenvectors

 

lec5:The matrix of quadratic form

 

lec2:Method of Finding Eigenvectors

 

lec3:Cayley Hamilton Theorem

 

lec6:An Introduction to Quadratic Function

 

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lec4:Diagonalization of Matrices

 

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