Question

Find the eigenvalues of A = {{-2,2,3},{-2,3,2},{-4,2,5}} and a basis for the eigenspace corresponding to each eigenvalue. Please help with the eigenspace

Answer 1

Solution: The characteristic equation is

  The eigenvalues of are   

for

By and   

Put

  is tha basis for   

for   

By    and

By    and

By

Put

  is tha basis for   

for   

By    and

By    and   

By      and

Put

  is tha basis for