2023-2024 Edition

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QAC220 Applied Vectors and Matrices

An introduction to the mathematics of matrices and their application in traditional and modern methods of data analysis and scientific computing. The course promotes an interdisciplinary approach, and topics may include:



- Coordinate transformations in data visualization, iterated patterns in mosaics and art

- Use of least squares approach with linear solvers for regression, as well as image alignment

- PCA-decomposition of computer images (the "eigenfaces" example)

- Matrix decomposition methods: Singular Value Decomposition and Non-negative Matrix Factorization

- Dimensionality reduction and data compression

- Matrix operations in deep learning.

- ChatGPT and word vector embeddings



Students will use R for most of the computational tasks, and Mathematica for symbolic math and deep learning.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: SBS-QAC
Prereq: MATH121