Quaternions and Matrices of Quaternions
Linear Algebra and its Applications
We give a brief survey on quaternions and matrices of quaternions, present new proofs for certain known results, and discuss the quaternionic analogues of complex matrices. The methods of converting a quaternion matrix to a pair of complex matrices and homotopy theory are emphasized
Zhang, Fuzhen, "Quaternions and Matrices of Quaternions" (1997). Mathematics Faculty Articles. 100.