Let https://webwork.math.nau.edu/webwork...40036ee191.png https://webwork.math.nau.edu/webwork...068a91c201.png0-2https://webwork.math.nau.edu/webwork...b40b2e3061.png 46 .

q: Find formulas for the entries of https://webwork.math.nau.edu/webwork...1b7ff8c741.png, where https://webwork.math.nau.edu/webwork...70877535c1.png is a positive integer.

I found eigenvalues, 2 and 4, then found their corresponding eigenspaces.

D^n=(P^-1)(A^n)P

=

https://webwork.math.nau.edu/webwork...068a91c201.png2^n-2https://webwork.math.nau.edu/webwork...b40b2e3061.png 0

8^n

.

Which is incorrect. Can someone please help?