STEM for Virginia

STEM for Virginia

Established 2024 (hopefully)

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CHEM 4410

less than 1 minute read

Published:

Student One

CHEM 3410

1 minute read

Published:

Student One

portfolio

Mohan

Published:

Major: Chemistry

publications

talks

The Math behind GPS and Google: An Intro to Linear Algebra

Published:

Speaker: Mohan Shankar

c/o 2024, Chemistry

Description:

The hero of today’s story will be a matrix. The “villain,” a system of linear equations. This talk will introduce the audience to two ways of solving a linear system of equations using matrix-vector notation. We also introduce the concept of an eigenvalue $(\lambda_i )$ and eigenvector $(\vec{v}_{\lambda})$ though we omit any explanation for a systematic way to find them. Equipped with this knowledge, we will present readers a few simplified models to display the real-world utility of these concepts.

Linear Algebra v2: Regression and SVD

Published:

Speaker: Mohan Shankar

c/o 2024, Chemistry

Description:

Building off of my first talk, I will couple linear algebra and calculus to introduce the idea of the cost function along with the simple technique of linear regression. We’ll then revisit eigenvectors and values while briefly describing how to systematically find them. The Google Page Rank algorithm will also be shown again, this time with the numerical calculations of finding the eigenvector associated with $\lambda = 1$. From there, we’ll touch on the singular value decomposition (SVD), one of the most important linear algebraic tools given its utility for dimensionality reduction and look at image compression using the technique.

teaching