Review problem #8

Student27Student27
in Student Questions

Provide a counter example to the statement that a square matrix is always similar to its inverse.

Does anyone have a good example? I'm thinking that you would want to find a matrix that does not share eigenvalues with its inverse.

mark

Comments

  • markmark

    @Student27 said:
    I'm thinking that you would want to find a matrix that does not share eigenvalues with its inverse.

    Yes - that is exactly right. It also helps to notice that it's really easy to compute both the inverse and the eigenvalues of a diagonal matrix.

Sign In or Register to comment.