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Tools for working with matrices and vectors.

Project description

Overview

This module contains some tools for linear algebra. It contains classes to define matrices and vectors, and a number of functions for working on those matrices and vectors. It is intended for mathematical and scientific use. It saved me a lot of time in a linear algebra class.

Classes

  • vector: collection which defines a vector in Cartesian coordinates
  • matrix: two-dimensional collection stored in row-major order

Functions

  • AxApproxB: solves Ax approximately equal to b; for use when the rows of matrix b are not in the column space of A
  • axpy: ax+y where a is a scalar, and x and y are vectors
  • bestfit: used to find a line of best fit from given points
  • colVec: makes a matrix with one column
  • det: returns the determinant of a square matrix. Can return a cross product if the top row contains the unit vectors.
  • dot: returns the dot product of two vectors
  • crossProduct: Returns a cross product
  • GaussJordan: solves AX=B, where matrices A and B are known and X is returned. If B is not in the column-space of A, use AxApproxB.
  • identityMatrix: makes an identity matrix of a given size
  • linearCombination: returns a linear combination based on a list of scalars and a list of vectors
  • mmMult: matrix-matrix multiplication
  • mvMult: matrix-vector multiplication
  • norm: takes the norm of a vector; defaults to 2 (Euclidian norm)
  • permutationMatrix: makes a permutation matrix based on a given permutation vector
  • proj: projection of one vector onto another
  • rowVec: makes a matrix with one row
  • transpose: transposes a matrix
  • unitVector: constructs a unit vector
  • v: wrapper around vector instantiation
  • zeroMatrix: makes a zero matrix of a given size
  • zeroVector: makes a zero vector of a given size

More Information

Help is available in the included help file.

Project details


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Filename, size & hash SHA256 hash help File type Python version Upload date
LinearAlgebra-1.4.1.tar.gz (5.5 kB) Copy SHA256 hash SHA256 Source None

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