# Proof : Diagonalization of Matrices

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Write a proof for the following statement:

If A is an n x n upper triangular matrix with no two diagonal elements the same, then A is similar to a diagonal matrix. Show work.

https://brainmass.com/math/linear-algebra/proof-diagonalization-matrices-12947

#### Solution Preview

1. Write a proof for the following statement:

If A is an n x n upper triangular matrix with no two diagonal elements the same, then A is similar to a diagonal ...

#### Solution Summary

The similarity to a diagonal matrix is investigated.

$2.49