Consider a vector p in 2-dimensional space. Let its direction (counter-clockwise angle with the positive x-axis) be θ. Let p be an eigenvector of a 2 × 2 matrix A with corresponding eigenvalue λ, λ > 0. If we denote the magnitude of a vector v by ||v||, identify the VALID statement regarding p', where p' = Ap.

• A. Direction of p' = λθ, ||p'|| = λ ||p||
• B. Direction of p' = θ, ||p'|| = ||p||/λ
• C. Direction of p' = λθ, ||p'|| = ||p||
• D. Direction of p' = θ, ||p'|| = λ||p||