This code is comparing two matrices and seeing if they are inverses by multiplying them together and seeing if they produce an inverse matrices. I have it set up so you can see both matrices when the code is run. With two matrices both $2$ rows and $2$ columns that are $[1,2][3,4]$ and $[-2,1][1\mathrm{.}5,-\mathrm{.}5]($those are inverses$)$ the result should be "The matrices are inverses to each other".

Why is this code saying that the $"$yyy$"$ value and the "rounded$\_$list" value are different?

import numpy as np

row$1=$ int$($input$("$Enter the number of rows: $"))$

cols$1=$ int$($input$("$Enter the number of columns: $"))$

row$2=$ int$($input$("$Enter the number of rows: $"))$

cols$2=$ int$($input$("$Enter the number of columns: $"))$

print$("$Enter the entries for the first matrix:"$)$

m$1=[[$float$($input$())$ for x in range$($cols$1)]$ for y in range$($row$1)]$

print$("$Enter the entries for the second matrix:"$)$

m$2=[[$float$($input$())$ for x in range$($cols$2)]$ for y in range$($row$2)]$

def matrix$\_$multiply$\_$recursive$($m$1,$ m$2)$:

# check if matrices can be multiplied

if len$($m$1[0])!=$ len$($m$2)$:

raise ValueError$("$Invalid matrix dimensions"$)$

# initialize result matrix with zeros

result $=[[0$ for j in range$($len$($m$2[0]))]$ for i in range$($len$($m$1))]$

# recursive multiplication of matrices

def multiply$($m$1,$ m$2,$ result, i$,$ j$,$ k$)$:

if i $>=$ len$($m$1)$:

return

if j $>=$ len$($m$2[0])$:

return multiply$($m$1,$ m$2,$ result, i$+1,0,0)$

if k $>=$ len$($m$2)$:

return multiply$($m$1,$ m$2,$ result, i$,$ j$+1,0)$

result$[$i$][$j$]+=$ m$1[$i$][$k$]*$ m$2[$k$][$j$]$

multiply$($m$1,$ m$2,$ result, i$,$ j$,$ k$+1)$

# perform matrix multiplication

multiply$($m$1,$ m$2,$ result, $0,0,0)$

return result

result $=$ matrix$\_$multiply$\_$recursive$($m$1,$ m$2)$

for row in result:

abs$\_$list $=[$abs$($x$)$ for x in row$]$

rounded$\_$list $=[$round$($x$,8)$ for x in abs$\_$list$]$

print$($rounded$\_$list$)$

def is$\_$identity$($rounded$\_$list$)$:

# Create the identity matrix of the same size

identity $=$ np$.$eye$($row$1,$ cols$2)$

for row in identity:

print$([$float$($value$)$ for value in row$])$

yyy $=$ is$\_$identity$([$rounded$\_$list$])$

abc $=$ yyy

xyz $=$ np$.$array$([$rounded$\_$list$])$

abc $=$ np$.$array$($abc$)$

def compare$\_$matrix$($A$,$ B$)$:

if $($np$.$array$\_$equal$($rounded$\_$list, yyy$))$:

return$("$The matrices are inverses to each other"$)$

else:

return$("$The matrices are not inverses of each other"$)$

final $=$ compare$\_$matrix$($yyy$,$ rounded$\_$list$)$

print$($final$)$