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For the matrix

1 -1 0
1 -2 1
0 -1 1

 

$\begin{bmatrix} 1 &-1 &0 \\ 1& -2 &1 \\ 0 &-1 &1 \end{bmatrix}$

has eigen vector ?

 

(A)  

1
1

1

 

(B) 

-1
1
-1

 

(C) 

1
-1
1

 

(D) 

1
1
-1
in Linear Algebra by (227 points)
edited by | 58 views
0
I solved it a few days ago
Ans was $A$ i guess, u will get $0$ as eigen value..
+1

$\lambda = -1,0,1$

For Eigenvector $AX=\lambda X$

$(A)$ is the correct answer.

References:

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