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MTH231
Linear Algebra
Teacher
Dr. Muhammad Kamran
Category
Mathematics & Statistics
Course Code
MTH231
Session
Fall 2020
Course Material/Videos
Available Resources
15454
Lecture 1 - Matrices and Operations with Matrices
Video
Notes
15798
Lecture 2 - Introduction to System of Linear Equations
Video
Notes
15799
Lecture 3 - Gaussian and Gauss-Jordan Elimination
Video
Notes
15800
Lecture 4 - The inverse of a Matrix
Video
Notes
15801
Lecture 5 - LU Factorization
Video
Notes
16489
Lecture 6 - Applications of System of Linear Equations
Video
Notes
16490
Lecture 7 - Determinant of a Matrix
Video
Notes
16491
Lecture 8 - Determinants and its Properties
Video
Notes
16912
Lecture 9 - Adjoint of a Matrix
Video
Notes
16913
Lecture 10 - Cramers Rule
Video
Notes
18398
Lecture 11 - Applications of Determinants
Video
Notes
18884
Lecture 13 - Vector Spaces
Video
Notes
18885
Lecture 14 - Subspaces of Vector Spaces
Video
Notes
18886
Lecture 15 - Linear Combinations and Spanning Set
Video
Notes
18887
Lecture 16 - Linear Independence and Linear Dependence
Video
Notes
18888
Lecture 17 - Basis and Dimension
Video
Notes
19861
Lecture 18 - Rank and Nullity of Matrices
Video
Notes
19862
Lecture 19 - Coordinates and Change of Basis
Video
Notes
19863
Lecture 20 - Linear Transformations
Video
Notes
19864
Lecture 21 - Kernel and Range of Linear Transformations
Video
Notes
20544
Lecture 22 - Matrices for Linear Transformations
Video
Notes
20545
Lecture 23 - Eigen Values and Eigen Vectors
Video
Notes
20546
Lecture 24 - Cayley-Hamilton Theorem
Video
Notes
21624
Lecture 25 - Diagonalization
Video
Notes
21625
Lecture 26 - Concept of Length and Angle in Euclidean Space
Video
Notes
21626
Lecture 27 - Inner Product Spaces
Video
Notes
21627
Lecture 28 - Concept of Length and Angle in General Inner Product Spaces
Video
Notes
21628
Lecture 29 - Orthogonal Projections
Video
Notes
21629
Lecture 31 - Gram-Schmidt Orthonormalization Process
Video
Notes