let V be a real n-dimensional vector space and let T:V-->V be a LT saisfying T(v)= - v for all v belongs to V.

1. show n is even

2.use T to make V into a cmplex vector space such that the multiplication by complex numbers extends the multiplications by real numbers

3. show that with respect to complex vector space structure on V obtained in 2. , T is a complex linear transformation