Matrix Eigenvalue Problems
Linear Algebra: Matrix Eigenvalue Problems
"Mathematics is the music of reason"
- Sylvester
Introduction to matrix:
Generally, a matrix is nothing but a rectangular array of objects. These matrices can be visualised in day - to - day applications where we use matrices to represent a military parade or a school assembly or vegetation.
In lower classes we studied about the different types of matrix and determinant of a matrix. Now in this chapter the newly introduced term called Eigenvalue.
A matrix Eigenvalue problem considers the vector
Exercise 8.1 :The matrix Eigenvalue problem. Determining Eigenvalues and Eigenvectors. https://drive.google.com/file/d/18DKRcOZem2L8b1Zm5SaFUQbKErQBCO20/view?usp=drivesdk
Exercise 8.2 : Applications of Eigenvalue problems
Exercise 8.3 : Symmetric, skew symmetric and Orthogonal Matrices
Exercise 8.4 : Eigenbasis, Diagonalization. Quadratic Forms. https://drive.google.com/file/d/1M733XDIxND8SB1bXuDn3OaRFUaap42Z8/view?usp=drivesdk