Ashwini posted an Question
October 07, 2020 • 02:46 am 30 points
  • IIT JAM
  • Mathematics (MA)

) 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.

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  • Ritesh rajesh malche

    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: JA| = 1) a subgroup of G. Show that H is normal in G.

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    Deepak singh 1 best-answer

    see attached solutions use property of determinant that determinant of matrix are distributive ..

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