0
$\begingroup$

The question is :

Let $T$ be a linear operator on a n-dimensional real vector space $V$ such that $T$ is diagonalizable. Then there exists an orthonormal basis for $V$ in which the matrix representation of $T$ is upper triangular.

How can I proceed?Please help me.

Thank you in advance.

  • 0
    Can I use Schur's theorem? – 2017-02-08
  • 0
    What does orthonormal mean when all you have is an $n$-dimensional real vector space? – 2017-02-08
  • 0
    I dont understand what do you mean by it. – 2017-02-08
  • 0
    Sorry I cant comment for next few hours.It's my sleeping time. – 2017-02-08

0 Answers 0