Mathematical Foundations for Deep LearningIntroduction to Linear Algebra for Machine Learning

Linear algebra is the backbone of deep learning. This course provides a fundamental understanding of vectors, matrices, and their operations, which are essential for building and optimizing complex machine learning models.

Vectors and Matrices in Python

Modify the Column Vector

Fix the Matrix

Defining the Matrix

Find the Dimensions of a Matrix

Creating a 3D Matrix from Two 2x2 Matrices

Calculate Weekly Total Sales Using Vector Addition

Predicting Expenses with Inflation and Scalar Multiplication

Perform Price Adjustments on Product List

Combine Student Scores Using Vector Addition

Total Sales Calculation per Product Using Matrix Addition

Adjust Monthly Budgets by Percentage Increase

Calculating Average Daily Temperatures

Exploring the Transposition

Calculating Dot Product of Forces in 3D Space

Change Vectors to Achieve Zero Dot Product

Check If Matrix Multiplication Is Possible and Compute the Result

Matrix-Vector Multiplication

Calculate Determinant and Check for Linear Dependency

Define a Matrix with Zero Determinant

Find the Determinant of a 3x3 Matrix

Solvability Check Using Determinants