How to perform matrix operation in python

What is the matrix?

A matrix is also a belong array of numbers (or various mathematical objects) that operations like addition and multiplication are printed most typically, a matrix over a field F is also an oblong array of scalars, each of that will be a member of F.[9][10] Most of this text focuses on real and complicated matrices, matrices whose elements are severally real numbers or advanced numbers.

Step for the addition of two matrices

Create one matrix in form of 3*3 with x variable

Lets understand with example:

X = [[19,6,3],

[4 ,4,4],

[7 ,5,9]]

Create second matrix in form of 3*3 with y variable

Y = [[5,8,15],

[6,5,3],

[5,5,9]]

Create a another matrix and all input in form of zero with sum variable

sum = [[0,0,0],

[0,0,0],

[0,0,0]]

I run the for loop for rows and length of x matrix

for i in range(len(X)):

I run another for loop for matrix columns

for j in range(len(X[0])):

I apply matrix addition logic

sum[i][j] = X[i][j] + Y[i][j]

I run for loop for sum variable to print the matrix

for r in sum:

print(r)

The final output is :

[24, 14, 18]

[10, 9, 7]

[12, 10, 18]

Step for multiplication of two matrices

Create one matrix in form of 3*3 with x variable

Lets understand with example:

X = [[19,6,3],

[4 ,4,4],

[7 ,5,9]]

Create second matrix in form of 3*4 with y variable

Y =[[5,8,1,2],

[6,7,3,0],

[4,5,9,1]]

Create a another matrix and all input in form of zero with mul variable

mul = [[0,0,0],

[0,0,0],

[0,0,0]]

I run the for loop for rows and length of x matrix

for i in range(len(X)):

I run another for loop for y matrix columns

for j in range(len(y[0])):

I run another for loop for y matrix rows

for k in range(len(Y)):

I apply matrix multiplication logic

mul[i][j] += X[i][k] * Y[k][j]

I run for loop for mul variable to print the matrix

for r in mul:

print(r)

The final output is :

[143, 209, 64, 41]

[60, 80, 52, 12]

[101, 136, 103, 23]

Step for transpose of two matrices

Create one matrix in form of 2*3 with x variable

Lets understand with example:

X =[[12,7],

[4 ,5],

[3 ,8]]

Create a another matrix and all input in form of zero with trans variable

trans =[[0,0,0],

[0,0,0]]

I run the for loop for rows and length of x matrix

for i in range(len(X)):

I run another for loop for matrix columns

for j in range(len(X[0])):

I apply matrix trans logic

trans[j][i] = X[i][j]

I run for loop for sum variable to print the matrix

for r in trans:

Print(r)

The final output is :

[12, 4, 3]

[7, 5, 8]

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