-1 1 0 00 -1 0 1 00 8 0 -1 1 0 0 0 -1 0 1 0 0 0 -1 1 0 Exercise 10.0.9 (B-level). Consider the transpose matrix to the one above, (60) and call it do. Show that this matrix represents the linear map, do : R(X) R(X) which is induced by sending basis element 1.ei; to the vector 1 p; +(1) Pi. Exercise 10.0.10 (C-level). Compute the determinant of 50 above. What does this tell us about the kernel of 60? Similarly, I can define a linear map, associated to this linear map is 1 = (1 : R(x) R(x) by Bij eij -1 1 0 0). (B12-B02+ B01) to12. The matrix which is