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Modern Algebra, MAT 401 Test 3. Show your work (b) 1. Find a solution x E...
Abstract Algebra based off of John B. Fraleigh's textbook 3. Find 473 (mod 15) 4. Find...
Abstract Algebra based off of John B. Fraleigh's textbook
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)) using the fundamental theorem of finitely generated abelian groups.
show full solution thanks MHF 401 Page 5 1 9. For f(x) = sin(2x + 2)...
show full solution thanks
MHF 401 Page 5 1 9. For f(x) = sin(2x + 2) +2: (4 marks) (a) Complete a table of values for the "key" points. (c) Write a mapping formula. (e) Sketch the new graph. (b) Sketch the starting function. (d) Determine the translated "key" points. (a) (d) 1x) = sinx x) 0 JI 2 TT 3 2 2 T (c)(x, y) - 11. Prove: sinxtanxsex-cos X
ANSWER 1,2 & 3 please. Show work for my understanding and upvote. THANK YOU!! 1. Carry out the following steps for the groups A and Qs, whose Cayley graphs are shown below. d2 2 (a) Find the orbi...
ANSWER 1,2 & 3 please. Show work for my understanding and
upvote. THANK YOU!!
1. Carry out the following steps for the groups A and Qs, whose Cayley graphs are shown below. d2 2 (a) Find the orbit of each element. (b) Draw the orbit graph of the group 2. Prove algebraically that if g2 e for every element of a group G, then G must be abelian. 3. Compute the product of the following permutations. Your answer for each...
MAT 2113 Test 4 Sp20 Name You must show all work to receive full credit. 1....
MAT 2113 Test 4 Sp20 Name You must show all work to receive full credit. 1. Find the coordinate matrix of x relative to the nonstandard basis for r. B-11.4.6.6.11.01.17.0,101), x(3, 19, 2) 2. Find the transition matrix from to. 3. Find the transition matrix from B to B. B - 1.1.1.1.1.01.1,0.01) B-1.2.3.0.1.02.(1,0,1)) 4. For u =(-1, 1, 2) and y = (-2,3,1), find: a) M b) unit vector in the direction of v c) d) d(u,v) e) proj 5....
9. Use the construction in the proof of the Chinese remainder theorem to find a solution to the system of congruences X 1 mod 2 x 2 mod 3 x 3 mod 5 x 4 mod 11 10. Use Fermats little theorem to fin...
9. Use the construction in the proof of the Chinese remainder theorem to find a solution to the system of congruences X 1 mod 2 x 2 mod 3 x 3 mod 5 x 4 mod 11 10. Use Fermats little theorem to find 712 mod 13 11. What sequence of pseudorandom numbers is generated using the linear congruential generator Xn+1 (4xn + 1) mod 7 with seed xo 3?
9. Use the construction in the proof of the Chinese...
I need help with number 3 on my number theory hw. Exercise 1. Figure out how...
I need help with number 3 on my number theory
hw.
Exercise 1. Figure out how many solutions x2 = x (mod n) has for n = 5,6,7, and then compute how many solutions there are modulo 210. Exercise 2. (a) Find all solutions to x2 +8 = 0 (mod 11). (b) Using your answer to part (a) and Hensel's Lemma, find all solutions to x2 +8 = 0 (mod 121). Exercise 3. Solve f(x) = x3 – x2 +...
1- (2,5+2,5 mark) Consider in GL(2, Q), the subset (a=1 or a=-1),bez Prove that H, with multiplication, is a subgroup of GL(2,Q) a) Is the function b) an homomorphism of groups? Justify your answ...
1- (2,5+2,5 mark) Consider in GL(2, Q), the subset (a=1 or a=-1),bez Prove that H, with multiplication, is a subgroup of GL(2,Q) a) Is the function b) an homomorphism of groups? Justify your answer 2 (3 marks) Let G be a group and a E G an element of order 12. Find the orders of each of the elements of (a) 3- (1+1,5 marks) Let G be a group such that any non-identity element has order 2. Prove that a)...
4. Suppose (x) (3+4x)+e*. a) Use analytic methods to show f (x is one to one....
4. Suppose (x) (3+4x)+e*. a) Use analytic methods to show f (x is one to one. b) Find () (28) Suppose g (x)--fx-12 + 3e 30-1 5x + e 2-x-8x + 17 . ₩5. c) Use analytic methods to show g(x) is one to one. d) Find (g") (4) 3x-2 6. Find the equation of the tangent line to the curve y -at the po int (Q,e)
1.a. b. c. Solve the IVP 2 [:] = [3 =:] [:] []=[3] ņ Find e...
1.a.
b.
c.
Solve the IVP 2 [:] = [3 =:] [:] []=[3] ņ Find e At where 2 5 A = -2 -4 Solve the IVP (21-1 -3) M (O)-() x(0) I g(0)
Abstract Algebra based off of John B. Fraleigh's textbook
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)) using the fundamental theorem of finitely generated abelian groups.
show full solution thanks
MHF 401 Page 5 1 9. For f(x) = sin(2x + 2) +2: (4 marks) (a) Complete a table of values for the "key" points. (c) Write a mapping formula. (e) Sketch the new graph. (b) Sketch the starting function. (d) Determine the translated "key" points. (a) (d) 1x) = sinx x) 0 JI 2 TT 3 2 2 T (c)(x, y) - 11. Prove: sinxtanxsex-cos X
ANSWER 1,2 & 3 please. Show work for my understanding and
upvote. THANK YOU!!
1. Carry out the following steps for the groups A and Qs, whose Cayley graphs are shown below. d2 2 (a) Find the orbit of each element. (b) Draw the orbit graph of the group 2. Prove algebraically that if g2 e for every element of a group G, then G must be abelian. 3. Compute the product of the following permutations. Your answer for each...
MAT 2113 Test 4 Sp20 Name You must show all work to receive full credit. 1. Find the coordinate matrix of x relative to the nonstandard basis for r. B-11.4.6.6.11.01.17.0,101), x(3, 19, 2) 2. Find the transition matrix from to. 3. Find the transition matrix from B to B. B - 1.1.1.1.1.01.1,0.01) B-1.2.3.0.1.02.(1,0,1)) 4. For u =(-1, 1, 2) and y = (-2,3,1), find: a) M b) unit vector in the direction of v c) d) d(u,v) e) proj 5....
9. Use the construction in the proof of the Chinese remainder theorem to find a solution to the system of congruences X 1 mod 2 x 2 mod 3 x 3 mod 5 x 4 mod 11 10. Use Fermats little theorem to find 712 mod 13 11. What sequence of pseudorandom numbers is generated using the linear congruential generator Xn+1 (4xn + 1) mod 7 with seed xo 3?
9. Use the construction in the proof of the Chinese...
I need help with number 3 on my number theory
hw.
Exercise 1. Figure out how many solutions x2 = x (mod n) has for n = 5,6,7, and then compute how many solutions there are modulo 210. Exercise 2. (a) Find all solutions to x2 +8 = 0 (mod 11). (b) Using your answer to part (a) and Hensel's Lemma, find all solutions to x2 +8 = 0 (mod 121). Exercise 3. Solve f(x) = x3 – x2 +...
1- (2,5+2,5 mark) Consider in GL(2, Q), the subset (a=1 or a=-1),bez Prove that H, with multiplication, is a subgroup of GL(2,Q) a) Is the function b) an homomorphism of groups? Justify your answer 2 (3 marks) Let G be a group and a E G an element of order 12. Find the orders of each of the elements of (a) 3- (1+1,5 marks) Let G be a group such that any non-identity element has order 2. Prove that a)...
4. Suppose (x) (3+4x)+e*. a) Use analytic methods to show f (x is one to one. b) Find () (28) Suppose g (x)--fx-12 + 3e 30-1 5x + e 2-x-8x + 17 . ₩5. c) Use analytic methods to show g(x) is one to one. d) Find (g") (4) 3x-2 6. Find the equation of the tangent line to the curve y -at the po int (Q,e)
1.a.
b.
c.
Solve the IVP 2 [:] = [3 =:] [:] []=[3] ņ Find e At where 2 5 A = -2 -4 Solve the IVP (21-1 -3) M (O)-() x(0) I g(0)
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