Matrices of order 3

Task number: 2596

Calculate determinants of the following real matrices:

  • Variant 1

    \(\begin{pmatrix} 18 & 11 & 11 \\ 11 & 11 & 11 \\ 11 & 11 & 24 \\ \end{pmatrix} \)

  • Variant 2

    \(\begin{pmatrix} 4 & 1 & 2 \\ 0 & -1 & 1 \\ 1 & 2 & 1 \\ \end{pmatrix} \)

  • Variant 3

    \(\begin{pmatrix} 3 & 2 & -1 \\ -1 & 1 & 2 \\ 2 & -1 & 3 \\ \end{pmatrix} \)

  • Variant 4

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

  • Variant 5

    \(\begin{pmatrix} 1 & 2 & 3 \\ -1 & 1 & 2 \\ 3 & 2 & 1 \\ \end{pmatrix} \)

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