[email protected]

Linear Algebra

#000 Linear Algebra for Machine Learning

Adjacency matrix

Learn what linear algebra is and what are the main applications in the machine learning

#001 Vector addition and scalar-vector multiplication

Vectors in 3D

Learn what the vectors are, where we use them, how we add them and multiply with scalars

# 002 Linear combination of Vectors

Span of vectors

Learn more about basis vectors and what is linear combination and the span of vectors

# 003 Linear transformations and matrices

Linear transformation

Find out how to connect a matrix-vector multiplication with a linear transformation

# 004 The determinant

The determinant of a transformation

Find out what the determinant is and why we use it in linear algebra

# 005 Inverse matrices, Rank, Column space and Null space

Inverse matrices

Learn about inverse matrices, rank, column and null space

# 006 Linear Algebra – Inner or Dot Product of two Vectors

Vector dot product

Learn about Dot product of two vectors. It is one of the fundamental operators in Linear Algebra

#007 Linear Algebra – Change of basis

Change of basis

In this post we will learn how to go from our standard (x,y) coordinate system into some other bases

#008 Linear Algebra – Eigenvectors and Eigenvalues

Eigenvectors

Best way to understand and visualizie eigenvalues and eigenvectors

#009 The Singular Value Decomposition(SVD) – illustrated in Python

SVD OpenCV

Learn about SVD - one of the most important algorithms in Linear Algebra, math, and engineering.

#010 Linear Algebra – Linear least squares

Linear least squares

Learn how find the approximate solutions of overdetermined linear systems of linear equations using Linear least squares algorithm

#011 Linear Algebra – Nonlinear Least Squares

Nonlinear least squares

Learn to solve the harder nonlinear equations using a heuristic algorithm of finding the least-squares approximate solution

#012 Principal Component Analysis (PCA)

PCA

PCA - the bedrock dimensionality reduction technique for probability and statistics

©  2024 Master Data Science. Built using WordPress and the Mesmerize Theme