You saw in class how the curl of a vector can be expressed using the levi-civita symbol. another way to write the curl of a vector is as the deter- minant of a matrix with the basis vectors in the top row, partial derivatives in the second and vector components in the third. it should therefore not surprise you that the determinant of any 3 x 3 matrix can be written using the levi-civita symbol. a. write the determinant of a 3 x 3 matrix in index notation using a sin- gle levi-civita symbol (you should be able to work this one out on your own). b. write the determinant of a 3 x 3 matrix in index notation using two levi-civita symbols (you might need to look this one up).