Recent content by rifat

  1. R

    Showing GL(n,R) positive determinant is homeomorphic to negative determinant

    How can we show that the set {A in GL(n;R) | det(A)>0} is homeomorphic to the set {A in GL(n;R) | det(A)<0}?"
  2. R

    Graduate Are GL(n;ℝ) matrices with positive and negative determinants homeomorphic?

    Thanks for reply. Yah I mean Homeomorphism. Actually I would ike to know how can we show that the set {A in GL(n;R) | det(A)>0} is homeomorphic to the set {A in GL(n;R) | det(A)<0}. I didnt understand how can we explain the properties of Homeomorphism function here. Could you please tell me a...
  3. R

    Graduate Are GL(n;ℝ) matrices with positive and negative determinants homeomorphic?

    Could anyone help me to prove the following question: "How can we show that the set {A in GL(n;R) | det(A)>0} is homeomorphic to the set {A in GL(n;R) | det(A)<0}?"
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