Consider G = {ze C: z = 1} List all the elements of G

6. Find the projection of .

Let |G| = 8. Show that G must have an element of order 2.

List the elements of U(18).

Let p = 5x + 10x + 3. Find the coordinate vector ofp relative to the following basis for P2. P1 = 1, P2 = 1 +x, p; = 1+x+x².

Consider the subset of P3 Q = {−6x² + 4x − 6, −24x² + sx + 6, 2sx + s} Find the two values of s for which the set Q is linearly dependent. Enter the two values of s into the answer box below, separated with a comma.

The set of polynomials {1, x² + 3x“, 2x² – 7x4} is a linearly independent set in P4.