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- Q1: Check whether (K,*) forms a group, where "* "refers to the matrix multiplication and K = {h₁, h₂, h3, h4}. Represent the properties in table form. Here, m₁ = ( 9 ), h₂ = ( 1), h3 = (₁-¹) and h₁ = (¹9).U(11) is cyclic generated by Select one: a. 2 b. 10 c. 9 d. 5Find all the generators of the following cyclic groups: (Z/6Z,+), ((Z/5Z)*, ·), (2Z, +), ((Z/11Z)*, ·).
- 1.)Integrate: ∫(x+1)(x+2)^6dx Group of answer choices a.)(2/56) (7x + 6)(x + 2)7 + C b.)(2/56) (7x - 6)(x + 2)7 + C c.)(1/56) (7x - 6)(x + 2)7 + C d.)(1/56) (7x + 6)(x + 2)7 + C 2.)Find the derivative of y = log26x. Group of answer choices a.)3.44 b.)1.44 c.)2.44 d.)0.44which of the following group are cycle ?(a) U(35) (b)U5(40)Q2: If G = R - {0} and a * b = 4ab ,show that (G,) forms a commutative group? %3D