Question

Let P be a 3×3 real matrix having eigenvalues $\lambda_1$ = 0, $\lambda_2$ = 1 and $\lambda_3$ = −1. Further, $v_1=\begin{pmatrix} 1 \\\ 0 \\\ 0 \end{pmatrix}$, $v_2=\begin{pmatrix} 1 \\\ 1 \\\ 0 \end{pmatrix}$ and $v_3=\begin{pmatrix} 1 \\\ 0 \\\ 1 \end{pmatrix}$ are eigenvectors of the matrix P corresponding to the eigenvalues $\lambda_1$, $\lambda_2$ and $\lambda_3$, respectively. Then the entry in the first row and the third column of P is

• A. 0
• B. 1
• C. -1
• D. 2

Answer 1

Answer: (C)

-1

Answer 2

The correct option is (C): -1