Create a Function in MATLAB function L = diagonal (A) Begin the function with th
ID: 1839475 • Letter: C
Question
Create a Function in MATLAB
function L = diagonal(A)
Begin the function with the commands
n=size(A,1)
[P,D] = eig(A);
________________________________________________________
Within your function, you will find the number k of linearly independent columns in P and ouput a message:
"The number of linearly independent columns in P is k = (your value).
Comparing k with n, you should make a conclusion whether A is diagonalizable.
If A is diagonaliziable, your output has to have:
(1) A message: "A is diagonlizable".
(2) A message: "A basis for R^n is" (output matrix P).
If A is not diagonalizable, the output has to contain
(1) A message: "A is not diagonlizable:.
(2) A message: "A does not have enough linearly independent eigenvectors to create a bases for R^n".
The "answer" for the function diagonal is the vector L of all the eigenvalues of A, as indicated in the heading of the function. The row vector L has to be defined within your code as L=transpose(diag(D));
and you should run the function exactly as
L = diagonal(A)
to get the vector L as an output.
Explanation / Answer
function L = diagonal(A)
A=input('Enter elements of the matrix');
n = size(A,1);
[P,D] = eig(A);
k=rank(D);
disp('The number of linearly independent columns in P is k = ');
k
if (k==n)
disp('A is diagonlizable');
disp('A basis for R^n is');
P
else
disp('A is not diagonlizable');
disp('A does not have enough linearly independent eigenvectors to create a bases for R^n');
end
%% Enter input in matrix FORM like [ 1 2 3 ; 1 3 5 ; 3 2 6] so on