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GATE Civil Engineering (CE) 2023 Shift 2 Solved Paper

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Question : 26

Total: 65

For the matrix
[A]=[

1	−1	0
−1	2	−1
0	−1	1

]
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

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