The course contains concepts and techniques of linear algebra. The course topics include systems of linear equations, determinants, vectors and vector spaces, eigenvalues and eigenvectors and singular value decomposition of matrix.
System of linear equations, Row reduction and Echelon forms, Vector equations, The matrix equations Ax = b, Applications of linear system, Linear independence
12846+ Students
Questions : 10+
Introduction to linear transformations, the matrix of a linear Transformation, Linear models in business, science, and engineering
8686+ Students
Questions : 7+
Matrix operations, The inverse of a matrix, Characterizations of invertible matrices, Partitioned matrices, Matrix factorization, The Leontief input output model, Subspace of. . .
7651+ Students
Questions : 18+
Introduction, Properties, Cramer’s rule, Volume and linear transformations
6260+ Students
Questions : 6+
Vector spaces and subspaces, Null spaces, Column spaces, and Linear transformations, Linearly independent sets: Bases, Coordinate systems
11636+ Students
Questions : 11+
Dimension of vector space and Rank, Change of basis, Applications to difference equations, Applications to Markov Chains
5581+ Students
Questions : 3+
Eigenvectors and Eigenvalues, The characteristic equations, Diagonalization, Eigenvectors and linear transformations, Complex eigenvalues, Discrete dynamical systems, Applica. . .
6135+ Students
Questions : 8+
Inner product, Length, and orthogonality, Orthogonal sets, Orthogonal projections, The Gram Schmidt process, Least squares problems, Application to linear models, Inner produ. . .
5782+ Students
Binary Operations, Groups, Subgroups, Cyclic Groups
5345+ Students
Questions : 4+
Rings and Fields, Integral domains
5353+ Students
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