I have an assignment where I need to create 2x2 matrices for each of the following Eigenvalue pairs.
i) eigenvalues are 2 and -3 ii) eigenvalues are 2+i and 2-i iii) eigenvalues are 1/2+2i and 1/2-2i
I got the first one just by putting a 0 in one corner and 2 -3 along the diagonal, but I really have no clue how to get an complex number for an eigenvalue. Please someone help me understand!