For the matrix $[A] = \begin{bmatrix} 1 & -1 & 0 \\ -1 & 2 & -1 \\ 0 & -1 & 1 \end{bmatrix}$ which of the following statements is/are TRUE?

$[A]{x} = {b}$ has a unique solution

$[A]{x} = {b}$ does not have a unique solution

$[A]$ has three linearly independent eigenvectors

$[A]$ is a positive definite matrix

GATE 2023 Civil Engineering Q25 — Civil Engineering

GATE 2023Set 2Q25MCQanswer pendingexplanation soonmedium

Civil Engineering · Engineering Mathematics - Linear Algebra

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Drill mode: eigenvectors · 2/10

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Engineering Mathematics - Linear Algebra has appeared in GATE Civil Engineering 3 times across 3 years (2022, 2023, 2026).

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