Question

Which of the following is the set of m×m invertible matrices?

(a) a permutation group of degree m^2

(b) a general linear group of degree m

(c) a sublattice group of degree m

(d) a isomorphic graph of m nodes

This question was addressed to me at a job interview.

My doubt is from Graph’s Matrices in division Graphs of Discrete Mathematics

Answer 1

Right choice is (b) a general linear group of degree m

The explanation is: The general linear group of degree m is the set of m×m invertible matrices, consists of a general linear group of degree m having the ordinary matrix multiplication operation.