Characterstic & Minimal polynomials.

**Prove or disprove(by giving an example) the following statements:**

1. Matrices wit the same characteristic polynomial and minimal polynomial are similar.

2. Diagonalizable matrices with the same characteristic polynomial are similar.

3. Diagonalizable matrices with the same minimal polynomial are similar.

4. Matrices with the same characteristic polynomial that factorize to different linear factors, are(matrices) similar.

5.Matrices with the same characteristic polynomial that factorize to different irreducible polynomial, are with the same minimal polynomial.

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