Sum of Secondary Orthogonal Bimatrices in Rnxn

Let , , .Let be the set of secondary unitary bimatrics in , and let be the set of secondary orthogonal bimatrices in .Suppose 2, we show that every can be written as a sum of bimatrices in and of bimatrices in .let be given that and let 2 be the least integer that is a least upper bound of the singular values of A B .When F=R, we show that if 3, then A B can be written as a sum of 6 secondary orthogonal bimatrices; if 4, we show that A B can be written as a sum of + 2 secondary orthogonal bimatrices.