Abstract Algebra based off of John B. Fraleigh's textbook 3. Find 473 (mod 15) 4. Find...

Question

Question

3. Find 473 (mod 15) 4. Find all integer solutions to the equation 21x 28 (mod 70). 5. Classify the group Z15 xZ4/K(3, 2)) us

Abstract Algebra based off of John B. Fraleigh's textbook

Answer 1

Answer #1

clen ealy 2 6 2 72 CSI Scanned with CamScanner

Answer 2

Similar Homework Help Questions

8. (20 points) Let G Zs x Zg and let H be the cyclic subgroup generated by (3, 3). (a) Find the o...

8. (20 points) Let G Zs x Zg and let H be the cyclic subgroup generated by (3, 3). (a) Find the order of H (b) Find the orders of g = (1,1) + H, h = (1,0) + H and k = (0,1) + H in G/H (c) Classify the factor group G/H according to the fundamental theorem of finitely generated abelian groups. 8. (20 points) Let G Zs x Zg and let H be the cyclic subgroup generated...
Modern Algebra, MAT 401 Test 3. Show your work (b) 1. Find a solution x E...

Modern Algebra, MAT 401 Test 3. Show your work (b) 1. Find a solution x E ZOSXsn for the congruence (a) 8x+3= 5 mod 9 8x=l(mod 21) 2. Find the least positive integer that is congruent to: (a) (14+46+65+92Xmod 11) (b) (717)(32)(62)(mods) (c) 62(mod5) 3. Solve the system (a) x = 2(mod 5) em a lx = 3(mod 8) x 4(mod 7) (3x + 2 = 3(mod 8) 4. Solve the system (a) [4][x] + [2][y] = [1] () {[3][x]...