Divam Kumar posted an Question
December 03, 2020 • 19:05 pm 30 points
  • IIT JAM
  • Mathematics (MA)

83. let r be a ring and a, b e r. then ehoose tie cefbecf one. (a) (a+b) a+b (b) (a+b) a + 2ab + b (a+8- a + ab + bu 4b (d) none of these 84. let gi and ga are

83. Let R be a ring and a, b e R. Then ehoose tie cefbecf one. (A) (a+b) a+b (B) (a+b) a + 2ab + b (a+8- a + ab + bu 4b (D) None of these 84. Let Gi and Ga are groups. Then which of the following is a normal subgroup of (A) Gix fe) ()-a)xG (C) Both (A) and (B) (D) None of these 85. The set 2 v2=a+ bv2 :a,be Z with ordinary addition and multiplication 15 (A) an integral (8) a field (C) Both (A) and (B) (D) None of these 86. Let A be a square matrix. Then the characteristic equation of A is given by: TA) A-A|=0 (B) A +Al-0 C)A-A=0 (D) None of these 81. The eigen vectors corresponding to distinct eigen values of a matrix are (A) linearly independent (B) linearly dependent (C) distinct and linearly dependent (D) None of these

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