Because a female bee comes from a fertilized egg and a male bee comes from an unfertilized egg, the number (nt+2) of ancestors of a male bee t + 2 generations before the present generation is the sum of the number of ancestors t and t + 1 generations (nt and nt+1) before the present. If the numbers of ancestors of a male bee in a given generation t and in the previous generation are given by

then there is a matrix M such that the numbers of ancestors in the two generations preceding generation t are given by

For a given male bee, the numbers of ancestors 5 and 6 generations back are given by

Find the numbers of ancestors 4 and 5 generations back by multiplying both sides of

By the inverse of M?

N= n, M+1 MN = %3D