Hint to find the order of the group of $2\times 2$ matrices under multiplication
58925
Order of general linear group of $2 \times 2$ matrices over $\mathbb{Z}_3$
147968
Calculate the Factor Group $(\mathbb{Z}_4 \times \mathbb{Z}_6)/\langle(0,2)\rangle$
98734
Order of a product of elements in a generic group
37061
The order of $ab$ when $a,b$ commute
139162
Complex number isomorphic to certain $2\times 2$ matrices?
84198
Step in Proof of Cardinality of Product of two Groups
30003
Proving that Order for N is Anti-symmetric
65165
Transform Matrix multiplication order
35660
Elements of order 2 in $D_{2n}$
75127
Group $G$ of order $p^2$: $\;G\cong \mathbb Z_{p^2}$ or $G\cong \mathbb Z_p \times \mathbb Z_p$
153961
Determinant of $2 \times 2$ block matrix with commuting blocks
142363
The determinant of a block Matrix of Order $2n$
4917
Inverse of this $3\times 3$ matrix using the Cayley–Hamilton theorem
125960
Factor groups of matrices
55062
$2\times 2$ matrix $C=AB-BA$
87136
All matrices which commute with all $2\times 2$ matrices
7843
Show that order of $a^k$