Generally unitary solution to a system of matrix equations over the quaternion field
2.
It is studied factorizing a matrix over quaternion field to the product of two self - conjugate matrices . and some useful results are obtained
3.
The concept of a secondary diagonalizable ( sdiagonalizable ) matrix over quaternion field is defined , necessary and sufficient conditions for determining whether a matrix over quaternion field is a sdiagonalizable matrix are studied , and a method of finding sdiagonalizable matrices is given