The eigenvalue-eigenvector pairs for the matrix $$A = \left( \begin{array} { c c c }
4 & 0 & 0 \
0 & 3 & 1 \
0 & - 1 & 1
\end{array} \right) \mathrm { X }$$ are Select all that apply.
A) $$4 , \left( \begin{array} { l }
1 \
0 \
0
\end{array} \right)$$
B) $$2 , \left( \begin{array} { c }
0 \
1 \
- 1
\end{array} \right)$$
C) $$2 , \left( \begin{array} { c }
1 \
- 1 \
0
\end{array} \right)$$
D) $$2 , \left( \begin{array} { l }
0 \
1 \
1
\end{array} \right)$$
E) $$2 , \left( \begin{array} { l }
0 \
1 \
0
\end{array} \right)$$

Question

The eigenvalue-eigenvector pairs for the matrix $$A = \left( \begin{array} { c c c } 
4 & 0 & 0 \
0 & 3 & 1 \
0 & - 1 & 1
\end{array} \right) \mathrm { X }$$ are Select all that apply.
A) $$4 , \left( \begin{array} { l } 
1 \
0 \
0
\end{array} \right)$$
B) $$2 , \left( \begin{array} { c } 
0 \
1 \
- 1
\end{array} \right)$$
C) $$2 , \left( \begin{array} { c } 
1 \
- 1 \
0
\end{array} \right)$$
D) $$2 , \left( \begin{array} { l } 
0 \
1 \
1
\end{array} \right)$$
E) $$2 , \left( \begin{array} { l } 
0 \
1 \
0
\end{array} \right)$$

Quizplus · Accepted Answer

The Answer of The eigenvalue-eigenvector pairs for the matrix $$A = \left( \begin{array} { c c c } 
4 & 0 & 0 \
0 & 3 & 1 \
0 & - 1 & 1
\end{array} \right) \mathrm { X }$$ are Select all that apply.
A) $$4 , \left( \begin{array} { l } 
1 \
0 \
0
\end{array} \right)$$
B) $$2 , \left( \begin{array} { c } 
0 \
1 \
- 1
\end{array} \right)$$
C) $$2 , \left( \begin{array} { c } 
1 \
- 1 \
0
\end{array} \right)$$
D) $$2 , \left( \begin{array} { l } 
0 \
1 \
1
\end{array} \right)$$
E) $$2 , \left( \begin{array} { l } 
0 \
1 \
0
\end{array} \right)$$

The Eigenvalue-Eigenvector Pairs for the Matrix A=(4000310−11)XA = \left( \begin{array} { c c c } 4 & 0 & 0 \\0 & 3 & 1 \\0 & - 1 & 1\end{array} \right) \mathrm { X }A=​400​03−1​011​​X

The Eigenvalue-Eigenvector Pairs for the Matrix $A = \left( \begin{array} { c c c } 4 & 0 & 0 \\0 & 3 & 1 \\0 & - 1 & 1\end{array} \right) \mathrm { X }$