Problem 5: Transposing a matrix as an operator Suppose T is an operator that transposes every matrix A, Le, T(A) 2 AT. [01] Try to find a matrix T that gives TA = AT for every A (Hint: Show that no matrix T works!) [Q2] The transformation T that transposes every matrix is still linear (make sure you know what this means!) . Which of these extra properties are true? 0 T2 is the identity; 0 The kernel of T is the zero matrix; a Every matrix is in the range of T; o no matrix A is such that T(A) = A