For the first problem, compute a few powers of B by hand and look for a pattern. You won't find a single closed formula, but a repeating pattern that should become apparent once n = 7 or so.Originally Posted bymantis

For the second problem, find a fourth vector such that the new vector together with the three given here forms a triangular matrix.Think about why that is sufficient.You may have to rearrange the order of the three vectors given here just a little.