Adjoint matrix and inverse

Task number: 2606

By the adjoint matrix calculate the inverse matrix (if it exists) to the following matrices over \(\mathbb R\) and also over \(\mathbb Z_5\).

  • Variant 1

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

  • Variant 2

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

  • Variant 3

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

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