SOME PROPERTIES OF MATRIX ALGEBRA OF SEMI-QUATERNIONS

Abstract. By representing semi-quaternions as four-dimensional vectors andthe multiplication of quaternions as matrix-by-vector product, we investi-gate properties of matrix associated with a semi-quaternion and examine De-Moivre's formula for this matrix, from which the nth power of such a matrixcan be determined.

Keywords:

De Moivre’s formula Hamilton operator, semi-quaternion,

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