Continuing Problem 5, we can extract some of the eigenvectors and eigenvalues of a kinship matrix of a general pedigree [16]. Consider a set of individuals in the pedigree possessing the same inbreeding coefficient and the same kinship coefficients with other pedigree members.

Typical cases are a set of siblings with no children and a married pairNext apply the inequality (a + b)2 ≥ 4ab to prove 4∆7 ≤ (4Φij )2;

finally, rearrange. 3.

Calculate all nine condensed identity coefficients for the two inbred siblings 5 and 6 of Figure 5.1.