Mathematics in Data Science: Module One - Linear Algebra, Schemes and Mind Maps of Digital Electronics

Download Mathematics in Data Science: Module One - Linear Algebra and more Schemes and Mind Maps Digital Electronics in PDF only on Docsity!

Mathematics in Data Science

• Data is at the core data of machine learning
• Design models - typically related to the process that generates data, similar to the data given
• Learning
• Data as Vectors

Outline of the Module

• Matrices
• Solving linear equations
• Vector spaces
• Linear independence
• Basis and rank
• Linear mappings
• Affine spaces
  • Norms
  • Inner products
  • Orthogonality
  • Orthonormal basis
  • Inner product of functions
  • Orthogonal projections

Linear

Algebra -

vectors

Examples

Examples

Matrices

Matrix addition and multiplication

Properties of Matrices

Matrix Inverse

Symmetric matrix

Multiplication by scalar

Representation of sys. Of Linear Eqn

Groups