Linear Algebra

First-Order Matrix Algebra

Physics has given me a thorough understanding of the usage of Linear Algebra as it applies to computers, solving systems of differential equations, and finding eigenvectors and eigenvalues in physical situations. I have helped multiple students in Linear Algebra and can show some of the best approaches to manipulating matrices and utilizing their properties. 

~ Basic operations of matrices

~ Inverses, determinants and the identity matrix

~ Row reduction and echelon forms

~ Solving systems of equations

~ Linear dependence

~ Gram-Schmidt orthogonalization

~ Linear models and least-squares regression

~ Cramer’s rule

~ Eigenvectors and eigenvalues

~ Diagonalization

~ Solving real-word problems

~ Computation models with matrices