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
2814+ Students
Questions : 6+
Introduction to linear transformations, the matrix of a linear Transformation, Linear models in business, science, and engineering
1886+ Students
Matrix operations, The inverse of a matrix, Characterizations of invertible matrices, Partitioned matrices, Matrix factorization, The Leontief input output model, Subspace of. . .
1654+ Students
Questions : 12+
Introduction, Properties, Cramer’s rule, Volume and linear transformations
1370+ Students
Questions : 5+
Vector spaces and subspaces, Null spaces, Column spaces, and Linear transformations, Linearly independent sets: Bases, Coordinate systems
1625+ Students
Questions : 8+
Dimension of vector space and Rank, Change of basis, Applications to difference equations, Applications to Markov Chains
1057+ Students
Questions : 2+
Eigenvectors and Eigenvalues, The characteristic equations, Diagonalization, Eigenvectors and linear transformations, Complex eigenvalues, Discrete dynamical systems, Applica. . .
1205+ Students
Inner product, Length, and orthogonality, Orthogonal sets, Orthogonal projections, The Gram Schmidt process, Least squares problems, Application to linear models, Inner produ. . .
1189+ Students
Questions : 4+
Binary Operations, Groups, Subgroups, Cyclic Groups
1074+ Students
Rings and Fields, Integral domains
1117+ Students
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