By Umair Instructor
This course includes
L.1 Course intro. with applications
L.2 Systems of Linear Equations1
L.3 Sytems of Linear Equations2
L.4 Systems of Linear Equations3
L.5 Row Echelon Form
L.6 Row Echelon Form(Example)
L.7 Gaussian Elimination
L.8 Gaussian Elimination(Concepts)
L.9 Gauss Jordan Elimination
L.10 Homogeneous Linear System
L.11 Matrices with operations
L.12 Matrix Multiplication
L.13 Matrices Operations
L.14 Matrices Inverses
L.15 Matrices Inverse Examples
L.16 Elementary Matrices and Inverse
L.17 Equivalence Theorem
L-0(post mid)
L.18 Solution by Matrix Inversion
L.19 Diagonal, Triangular, Symmetric Matrices
L.20 Determinants by Cofactors
L.21 Determinants by row operations
L.22 Properties of Determinants
L.23 Cramer's Rule
Lecture 24
Lecture 25
Lecture 26
Lecture 27
Lecture 28
Lecture 29
Lecture No 30
Lecture 31
L-32 Composition of Transformations
L-33 1-1
L-34 1-1 Contd.
L-35 Linear and Affine Transformation
L-36 Linear dependence or Independence
L-37 Linear Dependence or Independence 2
L-38 Basis
L-39 Basis Examples
L-40 Dimensions
L-41 Basis and Subspaces Examples
L-42 Subspaces
The three-dimensional Euclidean space R3 is a vector space, and lines and planes passing through the origin are vector subspaces in R3. Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces.
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