MatricesM 0.8a3

A Python 3 library of matrices

Matrices (Alpha)

Python 3 code to create and operate on matrices

Install using pip:

pip install MatricesM

Import by using:

import matrices

OR

from matrices import *

-matrices.py contains Matrix class and FMatrix, CMatrix and Identity sub-classes

-exampleMatrices.py contains example matrices

-Check the project tab to see the progress

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Some examples:

Create matrices filled with random integers

A=Matrix(4) #Creates a 4x4 matrix filled with random integers from the default range which is [-5,5]

B=Matrix([3,5],ranged=[10,25]) #Creates a 3x5 matrix with elements ranged between 10 and 25

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Give list of numbers to create matrices

filled_rows=[[1,2,3],[4,5,6],[7,8,9]]

C=Matrix(listed=filled_rows) #Creates a matrix with the given list of numbers

C1=Matrix(3,"1 0 -1 4 5 5 1 2 2") #Creates a 3x3 matrix from the given string

C2=Matrix([2,4],"5 -2 -3 2 1 0 0 4") #Creates a 2x4 matrix from the given string

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Give a string filled with data and use the numbers in it to create a matrix (Integers only for now)

data="""1,K,60,69900,6325 2,K,30,79000,5200 3,E,52,85500,7825 4,E,57,17100,8375 5,E,55,5500,5450 6,E,68,27200,8550 7,E,41,20500,4500 8,E,20,69000,5050 9,K,33,13200,8325 10,E,37,31800,5975"""

D=Matrix(dim=[10,4],listed=data) #Creates a matrix form of the given string's integers, dimension is required as [dataAmount,features]

OR

Read data from files

If your file is a table of data AND has a header AND header has numbers in it, use give header parameter 1 or you will get a row of all numbers in the file

Currently only works for INTEGER values and if the data in string format doesn't have new lines, it will return a row vector of all values

dataDir="Example\Directory\DATAFILE"

dataMatrix=Matrix(directory=dataDir) #Create a matrix from a table of data

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Create matrices filled with random float numbers

E=FMatrix(6) #Create a matrix filled with random float values in the default range

F=FMatrix(dim=[2,5],randomFill=0) #Fill the matrix with zeros

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Create identity matrices

i=Identity(3) #3x3 identity matrix

i.addDim(2) #Add 2 dimensions to get a 5x5 identity matrix

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Get properties of your matrix

C.grid #Prints the matrix's elements as a grid

C.p #Print the dimension,range,average and the grid

C.directory #Returns the directory of the matrix if there is any given

C.dim #Returns the dimension of the matrix; you can change the dimension, ex: [4,8] can be set to [1,32] where rows carry over as columns in order from left to right

C.string #Returns the string for of the matrix's elements

C.col(n) #Returns nth column of the matrix as a list n∈[1,column amount]

C.row(n) #Returns nth row of the matrix as a list n∈[1,row amount]

C.intForm #Returns integer form of the matrix

C.floatForm #Returns integer form of the matrix

C.ceilForm #Returns a matrix of all the elements' ceiling value

C.floorForm #Returns the same matrix as "intForm"

C.roundForm(decimal=n) #Returns a matrix of elements' rounded up to n decimal digits

C.uptri #Returns the upper triangular form of the matrix

C.lowtri #Returns the lower triangular form of the matrix

C.avg(n) #Returns the nth column's average, give None as argument to get the all columns' averages

C.inRange(n) #Returns the nth column's range, give None as argument to get the all columns' ranges

C.det #Returns the determinant of the matrix

C.t #Returns the transposed matrix

C.minor(m,n) #Returns the mth row's nth element's minor matrix

C.adj #Returns the adjoint matrix

C.inv #Returns the inversed matrix

C.rank #Returns the rank of the matrix

C.rrechelon #Returns the reduced row echelon form of the matrix

C.copy #Returns a copy of the matrix

C.summary #Returns the string form of the object

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Add or remove rows/columns and operate on them

E.add(r=3,lis=[1.0 ,2.5 ,52,242 ,-9883,212, 0.000001, -555,554]) #Make the list given the 3rd row

A.remove(c=2) #Remove the second column

for a in A.matrix: a[0]%=2 #Change first column's values to the remainder of division by 2

B @ B.t #Matrix multiplication example

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All calculations below returns True

A**2 == A * A

A*2==A+A

A.t.t==A

A.adj.t[1][2]==A.minor(2,3).det*-1

(B @ B.inv).roundForm() == Identity(B.dim[0]) # roundForm call is currently required due to %0.001 error rate on calculations

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More examples can be found in exampleMatrices.py