A matrix of determinant equal to zero raised to a large power

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Im given a question where $B$ is a matrix that has elemnts expressed by variable x, the question is to find the solution for $B^{50} (100 , y , z)=(0,0,0)$. This could be solved by finding the $x$ value which makes the determinent equal to zero but i cant quite understand why. I can only imagine that there would exist a zero row and with each multiplication this could make a lot of elements equal to zero but i cant exactly decide at which power I can decide thats true.