Linear Algebra 5 - Raising E To A Matrix

Will solve and play around with a second order derivative problem that includes word problem intuition using population growth. Think acceleration! Includes linearity practice and analysis.

Will discuss the powerful concept of linearity and introduce linear operators! After introduction to concepts, will use linearity to solve an equation for rabbit population growth in the much discussed rabbit and fox pop growth problem.

Will discuss raising Euler's number E to a matrix, very cool stuff! Plus will do a follow-up on dominant eigenvector behavior.

Will discuss matrix to matrix multiplication, dot product operation and inverse matrices, enjoy!

55 min episode that dives into very fun topic of eigenvectors and eigenvalues. There are quite a few word problems that will be solved and discussed!

Will discuss main topic of linear transformations then follow it up with determinants and linear systems of equations, enjoy!

Will begin discussion of the massive linear algebra math subject! First up, what are vectors and linear combinations??

Will discuss the idea behind this podcast, which is to relearn math in a completely new way that emphasizes mental math and doing math away from the desk! It is part science project and part accessibility project!

Will give guidance on how to listen to this podcast and what episodes to start on given your math background. Also will do a crash course in pre-calculus math needed for any episode.

Will share my favorite way to understand exponential growth and how this reveals the importance of Euler's number "e". And discuss how e^x and natural log functions are two sides of the same coin.