Engineering Mathematics Linear Algebra Eigenvalues

Let A ∈ M2(ℝ).

Which of the following statements is/are true?

1

If (tr(A))2 > 4 det(A), Then A is diagonalizable over ℝ.

2

If (tr(A))2 = 4 det(A), Then A is diagonalizable over ℝ.

3

If (tr(A))2 < 4 det(A), Then A is diagonalizable over ℝ.

4

All of these

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