Re: Diagonalizable matrices

Quote:

Originally Posted by

**fkf** Give all values of k, m and n for which the following matrix, B, is orthogonally diagonalizable (you do not have to give the diagonalization);

B =

[ 1 3 2]

[k m n]

[2 4 7]

Edit:

You don't have to solve the actually numbers. But I don't know how I should solve the problem.

Hi fkf! :)

Can you use the following theorem?

**Spectral Theorem for Real Symmetric Matrices:** An $\displaystyle n \times n$ matrix A is orthogonally diagonalizable if and only if A is symmetric.

If so, can you apply it?