*This preview shows
page 1. Sign up to
view the full content.*

**Unformatted text preview: **eld Z 7 . (a) Factor the polynomials x 2 + x + 1 and x 3 + 2 x + 5, where the coecients are elements of Z 7 . (b) Solve the following system of linear equations, where x and y are elements of Z 7 : 5 x + 2 y = 1, 3 x + 5 y = 5 . (c) Find the inverse of the matrix 3 2 4 1 over Z 7 . (d) Find the eigenvalues of the matrix 2 4 2 2 over Z 7 . For each eigenvalue, nd a corresponding eigenvector....

View Full
Document