Consider the following function.
T: Mnn → Mnn defined by T(A) = AB - BA, where B is a fixed n x n matrix
Find the following images of the function for vectors A and C in Mon and the scalar c.
T(A) + T(C) =
T(A + C) =
CT(A) =
T(CA) =
Determine whether T is a linear transformation.
a. linear transformation
b. not a linear transformation
