Problem 1
1.1 If A is an n x n matrix, prove that if A has n linearly
independent eigenvalues, then AT is diagonalizable.
1.2 Diagonalize the matrix below with eigenvalues equal to -1
and 5.
0
1
1
2
1
2
3
3
2
1.3 Assume that A is 4 x 4 and has three different eigenvalues,
if one of the eigenspaces is dimension 1 while the other is
dimension 2, can A be undiagonalizable? Explain.
Answer for all...