Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Algebra Group & Subgroups
Consider the set of matrices
G = \(\left\{\left(\begin{array}{ll} s & b \\ 0 & 1 \end{array}\right): b \in \mathbb{Z}, s \in\{-1,+1\}\right\}\)
Then which of the following is true?
1
G forms a group under addition
2
G forms an abelian group under multiplication
3
Every element in G is diagonalisable over ℂ
4
G is a finitely generated group under multiplication
5
Question Not Attempted