Question

An eigen vector of the matrix \[ A= \begin{bmatrix} 3 & 2 1 & 2 \end{bmatrix} \] is

• A. \( \begin{bmatrix} 7 2 \end{bmatrix} \)
• B. \( \begin{bmatrix} -2 1 \end{bmatrix} \)
• C. \( \begin{bmatrix} -1 2 \end{bmatrix} \)
• D. \( \begin{bmatrix} 5 -5 \end{bmatrix} \)

Hint:

To verify an eigenvector, simply check \[ \boxed{ AX=\lambda X. } \] If the resulting vector is a scalar multiple of the original vector, then it is an eigenvector.

Answer 1

The Correct Option is D