2. Definition: . We say a linear transformation T : R" -> R is onto if, for every b E Rm, there exists a vector T E R" such that T(x) = b. . We say a linear transformation T : R" - R" is one-to-one if T(x) # T(y), for every a ye Rm. Let TA be the matrix transformation induced by a n x n matrix A. (a) Show that if A is invertible then TA is onto. (b) Show that if A is invertible then TA is one-to-one. We conclude that if A is invertible then the transformation TA is both onto and one-to-one