Mathematics Homework Help

The questions should be 6-10 questions, and the topics are

-systems of linear equations

-row reduction and echelon forms

-vector equation

-the matrix equation Ax = b

-solution set of linear transformation

-linear independence

-introduction to linear transformation

-the matrix of linear transformation

-matrix operation

-the inverse of matrix

-characterizations of invertible matrices

-subspaces of R^n

-Dimension and Rank

-Introduction to Determinants

-properties of Determinants

– Cramer’s rule, volume, and Linear Transformation

-Vector spaces and subspaces

-Null Space, column spaces, and linear transformations

-Linearly Independent sets; Bases

-coordinate systems

-The Dimension of a Vector space

-Rank

-Change of Basis

-Applications to Difference equations

-Eigenvectors and Eigenvalues

-The characterstics Equations

-Diagonalization

-Eigenvectors and Linear Transformations

-complex Eigenvalues

-Applications to differential equations

-Inner products, Length and. Orthogonality

-orthogonal sets

-orthogonal projections

-the gram-schmidt process

-least-squares problems

-applications to linear models; machine learning

-inner produtct spaces

-Diagonalization of symmetric matrices

-Quadric forms

-Constrained Optimization

-The Singular Value Decomposition

-Applications to Image processing and Statistics

These are the topics, and it is may 4th 8:00AM (CDT). If you familiar with these topics, please bid, and let me know if you have any question. Thanks!