Teaching DSSSB TGT Mock Test 2025 Mathematical Science Algebra Group & Subgroups

Determine whether each of the following sets of matrices is a group under addition.

1
K = {A ∈ M2 (ℝ) : det A = ± 1}
2
L = {A ∈ M2 (ℝ) : det A = 7}
3
N = \(\rm \left \{\begin{pmatrix}a&b\\\ 0&d\end{pmatrix}\in M_2(R):ad\ne0\right\}\)
4
None of these
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