Math miscellaneousHard

Question

Let A = and B = , a , b ∈ N. Then

Options

A.there cannot exist any B such that AB = BA
B.there exist more than one but finite number of B′s such that AB = BA
C.there exists exactly one B such that AB = BA
D.there exist infinitely many B′s such that AB = BA

Solution

A =     B =
AB =
BA =
AB = BA only when a = b

Create a free account to view solution

View Solution Free
Topic: Math miscellaneous·Practice all Math miscellaneous questions

More Math miscellaneous Questions

If A = then...The two lines x = ay + b, z = cy + d; and x = a′y + b′, z = c′y + d′ are perpendicular to each o...A plane containing the point (3, 2, 0) and the line also contains the point :...The value of the integral, is...There are n married couples at a party. Each person shakes hand with every person other than her or his spouse. The tota...