Find out which of the transformations in Exercises 1 through 50 are linear. For those that are linear, determine whether they are isomorphisms. 1. T(M) = M + 12 from R2x2 to R2x2
2. T(M) = 7M from R2x2 to R2x2
3. T(M) = (sum of the diagonal entries of M) from R2x2 to R
4. T(M) = det(M) from R2x2 to R
5. T(M) = M2 from R2x2 to R2x2
6. T(M) = M from R2x2 to R2x2 6. T(M)= M [} 21 from R2X2 to R2x2
7. T (M) = [; 2) M from R2x2 to R2x2
8. T(m) = M [} £] m from R2^2 to R2x2
9. TM) = s-!ms, where s = [4), from R2«2 10
10. T(m) = PMP-t, where P = [} } ], from R2x2 10 R2x2 R2x2