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Linear Algebra

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1. Vectors

Introduction Position vectors lock_openUnlock all 50+ topics

2. Matrices

Introduction Transpose of matrices lock_openUnlock all 50+ topics

3. Linear equations

System of linear equations Gaussian Elimination lock_openUnlock all 50+ topics

4. Matrix determinant

Introduction Determinant of elementary matrices lock_openUnlock all 50+ topics

5. Vector space

Subspace Relationship between pivots and linear dependence lock_openUnlock all 50+ topics

6. Special matrices

Symmetric matrices Triangular matrices lock_openUnlock all 50+ topics

7. Eigenvalues and Eigenvectors

Introduction Basic properties lock_openUnlock all 50+ topics

8. Orthogonality

Orthogonal projections Orthonormal sets and bases lock_openUnlock all 50+ topics

9. Matrix decomposition

QR decomposition Orthogonal diagonalization lock_openUnlock all 50+ topics

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Joining two sets in Python

schedule Mar 5, 2023

Last updated

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Python

Examples

Update method

Consider the following two sets:


        
        
            
                
                
                    A = {1, 2, 3}
B = {3, 4, 5}

To add all elements of set B to set A:


        
        
            
                
                
                    A.update(B)
print(A)
                
            
            {1, 2, 3, 4, 5}

Note that here we are modifying set A in place.

Union method

Consider the following two sets:


        
        
            
                
                
                    A = {1, 2, 3}
B = {3, 4, 5}

To return a new set with elements from set A and set B:


        
        
            
                
                
                    A.union(B)
                
            
            {1, 2, 3, 4, 5}

Published by Arthur Yanagisawa

Edited by 0 others

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