Vector and Matrix Math

Description

Implement various vector and matrix math functions using no math libraries.

Objectives

Learning Objectives

After completing this assignment, you should understand:

List comprehensions
Introductory linear algebra concepts
Raising exceptions

Performance Objectives

After completing this assignment, you should be able to:

Perform mathematical operations on complex list structures

Details

Deliverables

A Git repo called vectors-and-matrices containing at least:
- README.md file explaining how to run your project
- a module called matrix_math
- tests for matrix_math

Requirements

Passing unit tests
No PEP8 or Pyflakes warnings or errors
No use of third-party libraries - only built in + - / * operators and the math module
No use of for or while loops

Normal Mode

Implement these linear algebra functions:

vector addition and subtraction
vector multiplication by a scalar
mean of multiple vectors
dot product
magnitude
matrix addition and subtraction
matrix multiplication by a scalar
matrix multiplication by a vector
matrix multiplication by a matrix

These functions are all defined in the formulas notebook included with this assignment as well as the tests.

These functions must:

Check the shape of the incoming vector or matrix before any calculations
Reuse any duplicated code

Reading