Number3 f: Ax B → B x A defined by f(a, b) = (b, a). Then the function f is(a) Surjective but not injective(b) Injective but not surjective(c) Bijective(d) Neither injective nor surjective2. Which one of the following is an operation * on Zpos.(a) a * b = ab(b) а *b %3D а — b(c) a * b = c where c is at least 2 more than a + b(d) a * b =3. Let f = (1734), g = (53142)(68) E S§g.(a) Write fofog in the form12345678,abcdwxyz'(b) Find g-1.fofogand determine the values of the unknowns.4. Which one of the following is not an operation on Z.(a) Addition(b) Multiplication(c) Division(d) Subtraction5. Calculate the following in Z4.(a) 2 + 3(b) 2+2+2(c) -36. Prove the right cancellation law of agroup.7. The set G ={1, i, –1, –i}is a group with respect to multiplication.Find all possible subgroups of G.8. Solve for x, where a, b, c, d e G and G is a group.a-1xb²d = c²

Name: Number3 f: Ax B → B x A defined by f(a, b) = (b, a). Then the function
Uploaded: 2024-03-20T06:46:03.000Z
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Description: Number3 f: Ax B → B x A defined by f(a, b) = (b, a). Then the function f is(a) Surjective but not injective(b) Injective but not surjective(c) Bijective(d) Neither injective nor surjective2. Which one of the following is an operation * on Zpos.(a) a