Matrices 2 x 2

Task number: 2657

Determine eigenvalues and the corresponding eigenvectors for the following matrix over the field \(\mathbb C\):

  • Variant 1

    \( \begin{pmatrix} 2 & 6 \\ 6 & -3 \\ \end{pmatrix} \)

  • Variant 2

    \( \begin{pmatrix} 0 & 1 \\ -2 & 2 \\ \end{pmatrix} \)

  • Variant 3

    \( \begin{pmatrix} 1 & 5 \\ 2 & 4 \\ \end{pmatrix} \)

  • Variant 4

    \( \begin{pmatrix} 5 & 10 \\ 4 & -1 \\ \end{pmatrix} \)

Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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