Question

Matrix equation
B^101
?

Answer 1

is it multiple choice

Answer 2

\[B=\left[\begin{matrix}-1 & -\sqrt3 \\ \sqrt3 & -1\end{matrix}\right]\]

Answer 3

I know that B^3 gives the unit matrix and that B^4 = B, right?

Answer 4

But how to calculate B^101?

Answer 5

sorry
\[B =\frac{ 1 }{ 2 }\left[\begin{matrix}-1 & -\sqrt3 \\ \sqrt3 & -1\end{matrix}\right]\]
B is equal to that

Answer 6

And from Matlab I know that
\[B ^{101} = \frac{ 1 }{ 2 }\left[\begin{matrix}-1 & \sqrt3 \\ -\sqrt3 & -1\end{matrix}\right]\]