Question: Consider the operator T L(C 3 ) given by T(x, y, z) = (x + y, y + z, x + cz) where c is

Consider the operator T L(C 3 ) given by T(x, y, z) = (x + y, y + z, x + cz) where c is an unknown constant. Find the value of c so that T is a normal operator.

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