linearalgebra-portfolio

This is my portfolio for SE_28 Linear Algebra.

Table of contents:

I. Scalars and Vectors.

1. What are vectors?
2. Operations and Manipulations of Vectors.
3. Norms.
4. The dot product. Hands-on Project: Regularization.

II. Matrices and Tensors.

1. Introduction.
2. Operations and Manipulations of Matrices.
3. Matrix product.
4. Special matrices. Hands-on Project: Image Classifier.

III. Span, Linear Dependency, and Space Transformation.

1. Linear Transformation.
2. Linear Combination.
3. Subspaces.
4. Linear dependency.
5. Basis.
6. Special Characteristics. Hands-on Project: Span.

IV. Systems of Linear Equations.

1. System of linear equation.
2. System shape.
3. Projections Hands-on Project: Linear Regression Using Least Squares Approximation.

V. Eigenvectors, Eigenvalues, and Eigendecomposition.

1. Eigenvectors and eigenvalue.
2. Change of Basis.
3. Linear Transformation.
4. Eigendecomposition. Hands-on Project: Principal Component Analysis.

Sources consulted: 'Linear Algebra for Dummies'. 'Linear Aggebra - learning group in Notion page'. '3Blue1Brown - Linear Algebra series'.

List of references: 'Essential Math for Data Science' - Hadrien Jean.