6 ladbe Let GGL2Z multiplication modulo 5 Let gi a Find ord

6. lad-be Let G=GL2(Z): multiplication modulo 5, Let gi = a. Find order of g, and g 0. a, b, c, d e Z, \" This is a group with matrix 0 0 4 and g2 = EG. b. Find order ofg, g2

Solution

In the given problem

Ist step = find the no of row (represent by horizontel lines) which is {2}

2nd step = count the column (represent by vertical lines) which is {2}

so the order of matrix is ( no of row* no of the column)

there for (2*2)

Answer