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Let z=−1+√3i2, where i=√−1, and r, s ϵ {1, 2, 3}. Let P=[(−z)rz2sz2szr] and I be the identity matrix of order 2. Then, the total number of ordered pairs (r, s) for which P2 = -I is ___

Answer» Let z=1+3i2, where i=1, and r, s ϵ {1, 2, 3}. Let P=[(z)rz2sz2szr] and I be the identity matrix of order 2. Then, the total number of ordered pairs (r, s) for which P2 = -I is ___


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