# Linear algebra in python

Number of operations and problems in Linear Algebra and Numerical Linear Algebra

## List of items

#### 01. Matrix operations:

- Addition
- Subtraction
- Division
- Multiplication
- Dot product (Scalar product)
- Inner product
- Outer product
- Determinant
- Rank
- Square root
- Summation of elements
- Column wise summation
- Row wise summation
- Matrix transposition
- Inverse
- Eigenvalues
- Eigenvectors

#### 02. Some of above operation without NumPy

#### 03. Cramer's rule

#### 04. Matrix norms:

- L¹ norm
- L² norm
- Squared L² norm
- Max norm
- Euclidean distance
- Frobenius norm & Condition number

#### 05. Five inequalities:

- details in
`05-inequality-details.pdf`