1. (20 pts) Create your own 3 x 3 matrix of Secular Determinant of = C1 + C02 + C303 to give non-zero values of all C, C2, C3, and E. [a b c110 de f lg h illcl 18- = 0 C = 1 C = 2 any value for C = 3 5 or H Just to confirm, for example, a = H11 - ES11. Find E You need to come up with H11, H12, H13, H21, H22, H23, H31, H32, H33, S11, S12, S13, S21, S22, S23, S31, S32, S33, E1, E2, and E3 that satisfy i) at least two of C1, C2, and C3, are non-zero, ii) E is non-zero, iii) If you get multiple E values, you need to calculate C, C2, and C3, for each E value. Please show all of your work step by step and explain how you come up with all values. Since the combination of possibility to construct this matrix is 923, statistically it is impossible that students come up to the exact same matrix (you will see what I mean once you start working on creating the 3 x 3 matrix, there are so many possibilities). Thus, if some students report the same matrix, all of them gain no points.