Types of Matrix with examples using Python | Scalar, Rectangular, Square, Null, Triangular - P10

Published: 18 August 2019
on channel: technologyCult

419

Types of Matrix with examples using Python | Scalar, Rectangular, Square, Null, Triangular - P10

0:00 Introduction
1:34 1. Row Matrix
2:33 Rectangular Matrix
3:20 Square Matrix
3:50 Diagonal Matrix
6:25 Identity Matrix
6:52 Matrix Transpose
7:38 Null Matrix
8:05 Triangular Matrix
9:37 Symmetric Matrix

Matrices and Vector with Python

Session No 10

Code Starts Here
==============

import numpy as np

1. Row Matrix

row_matrix = np.random.randint(0,9,(1,5))
print(row_matrix)

2. Column Matrix

column_matrix = np.random.randint(0,9,(5,1))
print(column_matrix)

3. Rectangular Matrix
rect_matrix = np.random.randint(0,6,(3,2))
print(rect_matrix)

4. Square Matrix
square_matrix = np.random.randint(0,9,(4,4))
print(square_matrix)

5. Diagonal Matrix
from numpy import diag

Matrix = np.random.randint(0,9,(4,4))
print(Matrix)

Extract the diagonal
diag_vector = diag(Matrix)
print(diag_vector)

Create the diagonal matrix from the vector
print(diag(diag_vector))

6. Scalar Matrix
scalar_matrix = 5 * np.eye(3,3)
print(scalar_matrix)

7. Identity Matrix
I = np.eye(2,2)
print(I)

8. Matrix Transpose
Matrix = np.random.randint(0,9,(4,4))
print(Matrix)
print(Matrix.T)

9. Null Matrix
null_matrix = np.empty([2,3])
print(null_matrix)

10. Triangular Matrix
from numpy import tril, triu

matrix = np.random.randint(0,9,(4,5))
print(matrix)

lower triangular matrix
lower = triu(matrix)
print(lower)

Upper triangular matrix
upper = tril(matrix)
print(upper)

11. Symmetrix Matrix
matrix = np.random.randint(0,9,(4,4))
print(matrix)
matrix_transpose = matrix.T
print(matrix_transpose)

symmertic_matrix = matrix + matrix_transpose - np.diag(matrix.diagonal())

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