Let
M=[[-2,6],[-6,-2]]
Find formulas for the entries of
M(n), where n is a positive integer. (Your formulas should not contain complex numbers.)
{:M(n)=[[2ⁿn(-1)ⁿ, 62ⁿn*(-1)ⁿ], [62ⁿn*(-1)ⁿ, 2ⁿn(-1)ⁿ]]}
a) M(n) = [[2ⁿn(-1)ⁿ, 62ⁿn*(-1)ⁿ], [62ⁿn*(-1)ⁿ, 2ⁿn(-1)ⁿ]]
b) M(n) = [[2ⁿ*(-1)ⁿ, 62ⁿ(-1)ⁿ], [62ⁿ(-1)ⁿ, 2ⁿ*(-1)ⁿ]]
c) M(n) = [[2ⁿ*(-1)ⁿ, -62ⁿ(-1)ⁿ], [-62ⁿ(-1)ⁿ, 2ⁿ*(-1)ⁿ]]
d) None of the above