Reply
Mon 22 Aug, 2005 06:38 pm
Consider the linear transformation S:M_n(R) ------> M_n(R) defined by
S(A) = A + A*T where A is an n by n matrix.
(a). Find Ker(S) and describe it.
(b). In particular case when A is a 2 by 2 matrix, determine a basis for Ker(S) and hence find its dimension.