Arithmetic Aptitude :: Algebra Problems
- Let A be the set of all non-singular matrices over real numbers and let * be the matrix multiplication operator. Then
- Let (Z, *) be an algebraic structure, where Z is the set of integers and the operation * is defined by n * m = maximum (n, m). Which of the following statements is TRUE for (Z, *) ?
- Some group (G, 0) is known to be abelian. Then which one of the following is TRUE for G ?
- If the binary operation * is deined on a set of ordered pairs of real numbers as (a,b)*(c,d)=(ad+bc,bd) and is associative, then (1, 2)*(3, 5)*(3, 4) equals
- If A = (1, 2, 3, 4). Let ~= {(1, 2), (1, 3), (4, 2)}. Then ~ is
- If a, b are positive integers, define a * b = a where ab = a (modulo 7), with this * operation, then inverse of 3 in group G (1, 2, 3, 4, 5, 6) is
- Which of the following is TRUE ?
- The set of all nth roots of unity under multiplication of complex numbers form a/an
- Which of the following statements is FALSE ?
- In the group G = {2, 4, 6, 8) under multiplication modulo 10, the identity element is
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