Let A be the matrix (i) Find a basis for the nullspace of A. (ii) Create a basis for the row space of A. You need to justify your choice of creation. iii) Insert additional vectors into your creation above in (ii) so that we have a basis for R*. You need to provide reasoning that the choice of vectors works. Let # be an invertible 2-by-2 real matrix. Argue whether the vectors, will form a basis for R'. Let C be the matrix, a b C Assume the determinant of C is 2. Argue if the e 8. following set is a basis for R'