) let g = gl(2, r) = {a:a is non-singular 2x2 matrix over r}, a group under usual matrix multiplication and h = sl(2, r) = {a e g: |a| = 1} a subgroup of g. sho

) Let G = GL(2, R) = {A:A is non-singular 2x2 matrix over R}, a group under usual matrix multiplication and H = SL(2, R) = {A E G: |A| = 1} a subgroup of G. Show that H is normal in G.