Find all su of z7
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Find all subrings of z7
1. In Z7[x], find q(x) and r(x) such that 53 1 (22r )r(a) and deg r(x) < 2. 1. In Z7[x], find q(x) and r(x) such that 53 1 (22r )r(a) and deg r(x)
2. Consider Z7 Prove that the operation on Z7 dened by [x]7 [y]7 = [5xy]7 is well dened. = 2. Consider Z- Prove that the operation ♡ on Z- defined by [2]7 0 [y]; [5xy]7 is well defined.
(b) Consider the initial value problem -2 1 z7) = 3 Find ö(t), writing your answer as a single vector.
Please be clear but don't make things complicated 1 in Z7[] (3) Consider x2 + 1 and x2 (a) Show that x2 + 1 is irreducible and that x2 (b) Show that both Z7[x]/(x2 1) and Z7x]/(x2 - 1) have 49 elements. (c) Show that Z7[x]/(x2+1) is a 1 is not irreducible field, but Z7 x/(x2 -1) has zero divisors 1 in Z7[] (3) Consider x2 + 1 and x2 (a) Show that x2 + 1 is irreducible and that...
What are the elements if Z6 and Z7. Based on the elements and the order of the elements which elements of Z6XZ7 have an order of 14. Explain.
Find the flux integral SSs curl(Ē).d5, where F(x, y, z) = [2 cos(ny)+22 +22, 22 cos(z7/2) – sin(ny)e24, 222]T and S is the surface parametrized by F(s, t) = [(1 – 51/3) cos(t) – 4s, (1 – 51/3) sin(t), 5s]T with 0 <t< 27,0 < s < 1 and oriented so that the normal vectors point to the outside of the thorn.
131. Find the voltage across 92 and 202 resistors. What is current in the power su supply of 2 2n ? ?? 24V
At least one of the answers above is NOT correct. (1 point) Let K Z7, the field of integers modulo 7.(You can read about fields in Chapter 1.8 of the textbook). Consider the vector space P2 of polynomials of degree at most 2 with coefficients in K Are the polynomials 4x2 + 3x + 3, 2r2 + 5x + 4, and 5x2 + 2x + 5 linearly independent over Z linearly independent If they are linearly dependent, enter a non-trivial...
uoblem Suトトose χ(n).JSn㈜oen.11 Find (i) i2pt DFT 。 χ(n)