], notice that this is a special form of a matrix. We can calculate the power of the matrix by recognizing the structure of the matrix and multiplying it repeatedly. When we compute A8 , we get:
A8=[
1
8
0
1
]8=[
1
8×8
0
1
]=[
1
64
0
1
] Quick Tip For matrices of this special form, raising them to a power simply involves multiplying the off-diagonal element by the power of the exponent.