Let V be the vector space of complex numbers over the field r. Define T:V-->V by T(z) = Z', where Z' is the complex conjugate of z.
Prove that T is linear, and compute [T]_beta, where beta={1,i}
Let V be the vector space of complex numbers over the field R. Define T:V-->V by T(z) = Z', where Z' is the complex conjugate of z.
Prove that T is linear, and compute [T]_beta, where beta={1,i}