Question

Find the eigenvalues and basis for each eigenspace. Is each matrix diagonalizable?
(a) [2 1]
[1 2]
(b) [0 1 1]
[1 0 1]
[1 1 0]
(c) [1 1]
[0 1]
(d) For the first matrix, compute its 6th power indirectly (using what you found in a).

*sorry about how the matrices look. (a) is a 2x2, (b) is a 3x3, and (c) is a 2x2