V , is n x n and vector space of all real matrix , A E V and T: V--V, for every X is E V. 

T(X) = AX-XA

a) Show the T is a linear transformation or not?

b) B is base of V and P is base of B and T is represent matrix. Calculate the determinant of P.

dev 2. V, n x n tipindeki tm reel matrislerin vektr uzay, A E V ve T : V V, her X V iin T(X) = AX - XA olsun. a) T'nin lineer dnm olduunu gsteriniz. b) B, V'nin taban ve P, B tabanna gre T'nin temsil matrisi olsun. P'nin determinantn bulunuz.