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
• Hard Mode
  • 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

• List Comprehension documentation
• How to Use List Comprehensions By Example
• Math Insight: Vector Algebra
• Khan Academy on Linear Algebra