CSIR NET Mathematics 2024|Algebra | 23 April 2024

Which of the following(s) is/are true?

Suppose , the generator of the group

Consider W = {(a₁, a₂, … a_n)|a₁ + 2a₂ + … + na_n = 0} is a subspace of then what is the dimension of W?

The number of monic irreducible polynomials of degree 2 over the field F₇ of the element is

If the sum of positive integer relatively prime to n and less than n is 6n then which of the following is not possible.