For the matrix [A] = \left[\begin{array}{ccc}1 & 2 & 3 \ \text{ 3} & 2 & 1 \ \text{ 3} & 1 & 2 \ ]\end{array} which of the following statements is/are TRUE?

The eigenvalues of [A]T are same as the eigenvalues of [A]

The eigenvalues of [A]-1 are the reciprocals of the eigenvalues of [A]

The eigenvectors of [A]T are same as the eigenvectors of [A]

The eigenvectors of [A]-1 are same as the eigenvectors of [A]

GATE Civil Engineering (CE) 2023 Shift 1 Solved Paper

Question : 47 of 65

Marks: +1, -0

For the matrix

[A] = {[\table 1 , 2 , 3 ; \text" 3" , 2 , 1 ; \text" 3" , 1 , 2 ; ]}

which of the following statements is/are TRUE?

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