Let M_n(ℝ) = {M_n×n = [a_ij] |a_ij∈ ℝ} then which of the following statement is true?

Any matrix A ∈ M2(ℝ) has a real Eigen value.

Any matrix A ∈ M4(ℝ) has at least one real Eigen value.

Any matrix A ∈ M9(ℝ) has a real Eigen value.

Any matrix A ∈ M4(ℝ) has at least one non-real Eigen value.

Question Not Attempted

Let Mn(ℝ) = {Mn×n = [aij] |aij ∈ ℝ} then which of the following statement is true?