Using the details of the matrices in the image, (note that they are real, and that I2 = J2 = K2 = -1 and IJ = K, show that qq* = 1. (the * term means complex conjugate) q = (indentity matrix)q1 +q2 I + q3 J +q4 K and q*= (indentity matrix)q1 - q2 I - q3 J - q4 K

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