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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

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Assignment for W2D1

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  • Python 100.0%