hello professionals suggest MATLAB code for 2x2 polynomial symmetric matrix and their eigen value and eigen vectors

i command polynomial but it does not shown its polynomial matrix ,it has displayed only its coefficient matrix .i want direct its polynomial matrix and also its eigen value and eigen vectors in polynomial

Answer 1

[Manish]

Hi Nithya,

I understand that you're seeking a MATLAB code to generate a 2x2 polynomial symmetric matrix and calculate its eigenvalues and eigenvectors.

You can achieve the same with the following code:

syms  x
a=1,b=3,c=3,d=2; 

a = 1

b = 3

c = 3

A = [a*x + b, c*x; c*x, d*x + b] 
[eigenVectors, eigenValues] = eig(A) 

You can modify the equations in matrix ‘A’ based on your specific polynomials.

You can refer the link below for more information about ‘syms’:

• https://www.mathworks.com/help/symbolic/syms.html

Hope this solves!

[Nithya]

Thank u