i need octive code or matlab code Diagonalize the matrix A

i need octive code or matlab code

Diagonalize the matrix A = (6 4 -3 -1) by computing S = P^-1 AP where P = (1 1 3 4). Also compute the eigenvalues of A and compute these with the diagonal elements of S.

Solution

>> A=[6 -3;4 -1]

A =

     6    -3
     4    -1

>> P=[1 3;1 4]

P =

     1     3
     1     4

>> S=inv(P)*A*P

S =

     3     0
     0     2

>> E=eig(A)

E =

     3
     2

>> D=diag(S)

D =

     3
     2

>> %Both are same