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Prove: Matrix is orthogonal according to transfomation

  1. Dec 12, 2016 #1
    I really need your help with the question below , I tried several ways but I have no idea how to prove this

    Let B be NxN matrix which transforms orthonormal base u1,u2,......un to other orthonormal base v1,v2,.....vn.
    (It means that for all 1<= i < n , exists Bui = vi)
    According to this statement I need to prove that B is orthogonal Matrix.

    I am sorry for the bad translation, hope it is clear.
  2. jcsd
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