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Linear Algebra for Machine Learning, Schemes and Mind Maps of Mathematics

Various topics in linear algebra that are relevant for machine learning, including bases, span, orthogonal and orthonormal bases, orthogonal and orthonormal matrices, determinants, eigenvectors, and principal component analysis (pca). It also discusses singular and non-singular transformations, the rank of linear transformations, and systems of linear equations. A comprehensive overview of these fundamental linear algebra concepts and their applications in the field of machine learning. It could be useful for students, researchers, or professionals working in machine learning or related areas who need to understand the mathematical foundations underlying these techniques.

Typology: Schemes and Mind Maps

2023/2024

Uploaded on 02/21/2024

sabhavath-yashwanth
sabhavath-yashwanth 🇮🇳

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For the rest of the details of the license, see https://creativecommons.org/licenses/by-sa/2.0/legalcode
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Copyright Notice

These slides are distributed under the Creative Commons License.

DeepLearning.AI makes these slides available for educational purposes. You may not use or distribute these slides for commercial purposes. You may make copies of these slides and use or distribute them for educational purposes as long as you cite DeepLearning.AI as the source of the slides.

For the rest of the details of the license, see https://creativecommons.org/licenses/by-sa/2.0/legalcode

Math for Machine Learning

Linear algebra - Week 4

Bases

Span

Orthogonal and orthonormal bases

Orthogonal and orthonormal matrices

PCA

Principal Component Analysis

Principal Component Analysis

Principal Component Analysis

Principal Component Analysis

Principal Component Analysis

Principal Component Analysis

2 dimensions 1 dimension

Principal Component Analysis

Principal Component Analysis

8 dimensions

Principal Component Analysis

8 dimensions 3 dimensions

Non-singular transformation

a

b

Non-singular transformation

a

b