For the matrix

\(\rm [A]=\begin{bmatrix}1&-1&0\\\ -1&2&-1\\\ 0&-1&1\end{bmatrix}\)

which of the following statements is/are TRUE?

1
[𝐴]{π‘₯} = {𝑏} has a unique solution
2
[𝐴]{π‘₯} = {𝑏} does not have a unique solutionΒ 
3
[𝐴] has three linearly independent eigenvectors
4
[𝐴] is a positive definite matrix

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