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Subject

Mathematics II

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.

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Linear equations in linear Algebra

System of linear equations, Row reduction and Echelon forms, Vector equations, The matrix equations Ax = b, Applications of linear system, Linear independence

System of linear equations, Row reduction and Echelon forms, Vector equations, The matrix equations Ax = b, Applications of linear system, Linear independence

30955+ Students

Questions : 13+

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Transformations

Introduction to linear transformations, the matrix of a linear Transformation, Linear models in business, science, and engineering

Introduction to linear transformations, the matrix of a linear Transformation, Linear models in business, science, and engineering

20426+ Students

Questions : 8+

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Matrix Algebra

Matrix operations, The inverse of a matrix, Characterizations of invertible matrices, Partitioned matrices, Matrix factorization, The Leontief input output model, Subspace of. . .

Matrix operations, The inverse of a matrix, Characterizations of invertible matrices, Partitioned matrices, Matrix factorization, The Leontief input output model, Subspace of Rn, Dimension and rank

18831+ Students

Questions : 21+

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Determinants

Introduction, Properties, Cramer’s rule, Volume and linear transformations

Introduction, Properties, Cramer’s rule, Volume and linear transformations

13983+ Students

Questions : 8+

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Vector Spaces

Vector spaces and subspaces, Null spaces, Column spaces, and Linear transformations, Linearly independent sets: Bases, Coordinate systems

Vector spaces and subspaces, Null spaces, Column spaces, and Linear transformations, Linearly independent sets: Bases, Coordinate systems

30482+ Students

Questions : 14+

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Vector Space Continued

Dimension of vector space and Rank, Change of basis, Applications to difference equations, Applications to Markov Chains

Dimension of vector space and Rank, Change of basis, Applications to difference equations, Applications to Markov Chains

12705+ Students

Questions : 4+

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Eigenvalues and Eigen Vectors

Eigenvectors and Eigenvalues, The characteristic equations, Diagonalization, Eigenvectors and linear transformations, Complex eigenvalues, Discrete dynamical systems, Applica. . .

Eigenvectors and Eigenvalues, The characteristic equations, Diagonalization, Eigenvectors and linear transformations, Complex eigenvalues, Discrete dynamical systems, Applications to differential equations

14004+ Students

Questions : 9+

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Orthogonality and Least Squares

Inner product, Length, and orthogonality, Orthogonal sets, Orthogonal projections, The Gram Schmidt process, Least squares problems, Application to linear models, Inner produ. . .

Inner product, Length, and orthogonality, Orthogonal sets, Orthogonal projections, The Gram Schmidt process, Least squares problems, Application to linear models, Inner product spaces, Applications of inner product spaces

14604+ Students

Questions : 9+

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Groups and Subgroups

Binary Operations, Groups, Subgroups, Cyclic Groups

Binary Operations, Groups, Subgroups, Cyclic Groups

12210+ Students

Questions : 5+

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Rings and Fields

Rings and Fields, Integral domains

Rings and Fields, Integral domains

12365+ Students

Questions : 11+

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7th sem exam offer
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