It can be shown that the algebraic multiplicity of an eigenvalue 1 is always greater than or equal to its geometric multiplicity (that is, the dimension of the corresponding eigenspace). Find h in the matrix A below such that the eigenspace for 1 = 5 is two-dimensional. A = [5 -2 6 -1]
[0 3 h 0]
[0 0 5 4]
[0 0 0 1]