Matrix products

Task number: 2420

For real matrices

\[ \mathbf A= \begin{pmatrix} 1 & 0 & 1 & 1 \\ 2 & 0 & 1 & 1 \\ 2 & 1 & 0 & 0 \\ 1 & 2 & 1 & 0 \\ \end{pmatrix},\ \mathbf B= \begin{pmatrix} 0 & 2 & 2 & 1 \\ 1 & 0 & 2 & 0 \\ 2 & 1 & 0 & 2 \\ 2 & 2 & 1 & 1 \\ \end{pmatrix},\ \mathbf C= \begin{pmatrix} 2 & 0 & 1 & 0 \\ 1 & 2 & 0 & 1 \\ 2 & 1 & 1 & 0 \\ 1 & 0 & 1 & 1 \\ \end{pmatrix},\ \]

\[ \mathbf D= \begin{pmatrix} 1 & 1 & 0 & 0 \\ 1 & 2 & 1 & 1 \\ 1 & 1 & 2 & 0 \\ 0 & 1 & 2 & 1 \\ \end{pmatrix},\ \mathbf E= \begin{pmatrix} 1 & 1 & 2 & 0 \\ 1 & 2 & 1 & 1 \\ 0 & 1 & 2 & 1 \\ 1 & 2 & 0 & 0 \\ \end{pmatrix},\ \]

  • Variant 1

    Calculate product \(\mathbf A\mathbf B\).

  • Variant 2

    Calculate product \(\mathbf B\mathbf A\).

  • Variant 3

    Calculate product \(\mathbf C\mathbf D\).

  • Variant 4

    Calculate product \(\mathbf D\mathbf E\).

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