4. (30 points) Consider the square matrix A given below: -6 -6 a -b A = a -b -b-b a where a, b E R, and a > 0, b>0. Firs
Posted: Wed Jul 06, 2022 12:04 pm
4. (30 points) Consider the square matrix A given below: -6 -6 a -b A = a -b -b-b a where a, b E R, and a > 0, b>0. First, find the range of a, b values for which A-¹ exists. Second, for the determined range of a, b, find the eigenvalues and the eigenvectors of A-¹.