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Let A be a 3x3 matrix with real entries. Prove that, if A is not similar over R to a triangular matrix, then A is similar over C to a diagonal matrix....

Let A be a 3x3 matrix with real entries. Prove that, if A is not similar over R to a triangular matrix, then A is similar over C to a diagonal matrix.

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If A is not similar to Triangular Matrix over R,Then minimal polynomial
of A over R should be of the form
(ax2 + bx + c)(x + α)
This is because of the following theorem- If A be n × n matrix then...

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