Numpy is an array-processing package. It is the fundamental package for scientific computing with Python. If you’re working with matrices, you’re going to love working with NumPy. In this lecture, we talk about the most important functionalities that NumPy has to offer. In a nutshell and from an NumPy perspective, we talk about different types of matrices, matrix operations, matrix arithmetic, matrix decompositions and products, inversions, and systems.

Timestamps of this lecture are:

00:00:00 Intro 00:02:31 Jupyter setup 00:06:23 Numpy setup 00:08:16 Markdown cell 00:10:40 Array 00:11:26 type function 00:13:01 Indexing Array elements 00:14:36 Dimensions of Array 00:15:38 Matrix 00:17:36 Extracting a sub-matrix 00:19:22 Modifying matrix elements 00:22:15 Identity matrix 00:22:50 Zeros matrix 00:24:14 Ones matrix 00:24:48 Constant matrix 00:27:48 Random matrix 00:31:11 Mean 00:33:35 Standard Deviation 00:36:49 dtype function 00:38:31 Matrix Addition 00:41:06 Matrix Subtraction 00:41:45 Matrix Point-wise Multiplication 00:43:00 Matrix Point-wise Division 00:46:08 Matrix Products 00:46:44 np.matmul function 00:50:40 np.dot function 00:51:40 np.inner function 00:52:46 np.tensordot 00:55:52 Matrix Exponentiation 00:57:13 Kronecker Product 00:59:14 Matrix Decompositions 00:59:23 Cholesky Decomposition 01:03:06 QR Decomposition 01:05:05 EigenValue Decomposition (EVD) 01:08:58 SingularValue Decomposition (SVD) 01:10:08 Matrix Norms 01:10:10 L2 Frobenius Norm 01:10:24 Condition Number 01:10:56 Determinant of a matrix 01:11:10 Rank of a matrix 01:11:33 Trace of a matrix 01:13:05 Solving Linear Equations Ax = b 01:13:39 Inverse of a matrix 01:14:10 np.linalg.solve function 01:14:56 Moore-Penrose Pseudo-Inverse 01:15:53 Recap

Ahmad Bazzi

Ahmad Bazzi is an Electrical Engineer and YouTuber. Ahmad Bazzi is a signal processing engineer at CEVA DSP. He holds a PhD in Electrical Engineering from EURECOM. Ahmad Bazzi is a EURECOM alumni. Ahmad Bazzi obtained his Master studies (Summa Cum Laude) in Electrical Engineering at SUPELEC, Paris. Ahmad Bazzi has many publications in well-known IEEE conferences, including a nomination award and is a co-inventor in several patents.
Ahmad Bazzi dedicates time to publish high level lectures on Mathematics (including convex optimization) and Programming. Ahmad Bazzi also focuses on Machine Learning, Convex Optimization, Linear Algebra, Python, SymPy, NumPy, Pandas, CVXOPT, MATLAB, C++ for firmware systems.

This lecture provides everything you need to know on Pandas Programming. I use one of my favorite environments, that is Google’s Jupyter notebook. It’s very easy to use and I’m sure you will love it. This lecture deals with Pandas DataFrames, Multidimensional Hierarchical Indexing, Boolean Operations on DataFrames, Aggregate Functions, […]

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