Please solve it in matlab Using eigshow and the 2 times 2 ma

Please solve it in matlab.

Using eigshow, and the 2 times 2 matrices shown in the dropdown toolbar, answer the following questions Which matrices are singular? Which matrices have complex eigenvalues? Which matrices have double eigenvalues? In each case answer why?

Solution

If determinant of matrix is zero. The matrix is said to be as singular. Please find below the matlab code to check for singular matrix:

a = [ 0.25 0.75; 1 0.5]
if det(a) == 0
   disp(\'Matrix is singular\')
else
   disp(\'Matrix is not singular\')