Let the eigen values of a 2 2 matrix A be...

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Let the eigen values of a 2 × 2 matrix A be 1, -2 with eigen vectors x₁ and x₂ respectively. Then the eigen values and eigen vectors of the matrix A² - 3A + 4$$I$$ would, respectively, be

A. 2, 14; x₁, x₂

B. 2, 14; x₁ + x₂, x₁ - x₂

C. 2, 0; x₁, x₂

D. 2, 0; x₁ + x₂, x₁ - x₂

Answer: Option A

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