MCQs of Algebraic Structures (Discrete Mathematics - 3140708)

Showing 61 to 65 out of 65 Questions

61.

Which of the following is not field?

62.

Which of the following is not an integral domain?

63.

Which of the following is field?

64.

Which of the following statement is not necessarily correct?

(a)	Every field is an integral domain.
(b)	Every ring is an integral domain.
(c)	Every field is a ring.
(d)	Every integral domain is a ring.

65.

Let G=

{Aα = (\begin{matrix} \cos (α) & - \sin (α) \\ \sin (α) & \cos (α) \end{matrix}) / α \in ℝ}

is group under matrix multiplication then the inverse of

Aα

is _____.

(a)	$(\begin{matrix} \cos (α) & \sin (α) \\ - \sin (α) & \cos (α) \end{matrix})$
(b)	$(\begin{matrix} \cos (α) & \sin (α) \\ \sin (α) & \cos (α) \end{matrix})$
(c)	$(\begin{matrix} \cos (α) & - \sin (α) \\ \sin (α) & \cos (α) \end{matrix})$
(d)	$(\begin{matrix} \cos (α) & - \sin (α) \\ \sin (α) & - \cos (α) \end{matrix})$

Showing 61 to 65 out of 65 Questions