In problems 21 through 24, show that the matrix A is nilpotent and then use this fact to find (as in example 3) the matrix exponential
Options:
A) Nilpotency of a matrix implies that its determinant is zero.
B) The matrix exponential of a nilpotent matrix is always an identity matrix.
C) Nilpotent matrices have a unique property that simplifies their matrix exponential.
D) The matrix A is not nilpotent, so the matrix exponential is undefined.
