Finding eigen values of 3x3 matrix/ Characteristic Equation & Eigenvalues in Min with a Casio Calci

#Finding eigen values, #Characteristic Equation, #Casio Calculator
This video provides a detailed tutorial on using a Casio calculator to find the characteristic equation and eigenvalues (characteristic roots) of a 3x3 matrix.

0:00 - Introduction to the video
0:45 - Understanding the Characteristic Equation
3:30 - Defining the Matrix on a Calculator
5:20 - Finding the Determinant of the Matrix
6:50 - Calculating the Trace of the Adjoint Matrix
8:30 - Constructing the Characteristic Equation
9:20 - Finding the Roots (Eigenvalues)
11:00 - Handling Repeated Roots
11:35 - Summary and Conclusion
Defining the characteristic equation: The tutorial begins by stating the formula for the characteristic equation: determinant of (A - λI) = 0.

The video covers the following:

Manual Calculation: It first explains the formula for the characteristic equation, which is the determinant of (A - λI) = 0. It also shows how to manually calculate the trace, the sum of the products of the eigenvalues taken two at a time, and the determinant of the matrix [01:07].

Calculator Use: The tutorial then demonstrates how to use a Casio calculator to perform these calculations, which is a more efficient method [04:04].

Finding Roots: Finally, it shows how to use the calculator's polynomial solver to find the roots of the characteristic equation, which are the eigenvalues of the matrix [08:48].