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The sum of the eigenvalues of the matrix 
\( A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}^2 \) 
is _____________ (rounded off to the nearest integer). 

  • GATE EE - 2024
  • GATE EE
  • Engineering Mathematics
  • Eigenvalues

If $M$ is an arbitrary real $n \times n$ matrix, then which of the following matrices will have non-negative eigenvalues?

  • GATE CE - 2023
  • GATE CE
  • Engineering Mathematics
  • Eigenvalues

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

  • GATE CE - 2023
  • GATE CE
  • Engineering Mathematics
  • Eigenvalues
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