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##### 1Linear Equations with Matrices

- 1.1Notation of matrices
- 1.2Solving systems of linear equations by graphing
- 1.3Representing linear system as a matrix
- 1.4The three types of matrix row operations
- 1.5Solving a linear system with matrices using Gaussian elimination
- 1.6Row reduction and echelon forms
- 1.7Linear combination and vector equations in $R^n$
- 1.8Matrix equation Ax=b
- 1.9Solution sets of linear systems
- 1.10Application of linear systems

- 1.1Notation of matrices
##### 2Linear Transformation

##### 3Matrix Operations

##### 4Inverse of Matrices

##### 5Subspace of $\Bbb{R}^n$

##### 6Determinant of a Matrix

##### 7Eigenvalue and Eigenvectors

##### 8Orthogonality and Least Squares