Project ID:
7200020190
Accepted:
Typ:
Layout:
Question:
Spárujte maticové operace s výsledkem.
Questions Title:
Operace
Answers Title:
Výsledky
Question 1:
$$
\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} \cdot \begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}
$$
Answer 1:
$$
\begin{pmatrix} 4 & 5 \\ 2 & 3 \end{pmatrix}
$$
Question 2:
$$
\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} + \begin{pmatrix} 0 & 1 \\ 1 & 1 \end{pmatrix}
$$
Answer 2:
$$
\begin{pmatrix} 1 & 3 \\ 4 & 5 \end{pmatrix}
$$
Question 3:
$$
\begin{pmatrix} 1 & 3 \\ 2 & 4 \end{pmatrix}^T
$$
Answer 3:
$$
\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}
$$
Question 4:
$$
\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \cdot \begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}
$$
Answer 4:
$$
\begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}
$$
Question 5:
$$
\begin{pmatrix} 5 & 4 \\ 3 & 2 \end{pmatrix} - \begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}
$$
Answer 5:
$$
\begin{pmatrix} 4 & 3\\ 2 & 1 \end{pmatrix}
$$
Question 6:
$$
\begin{pmatrix} -3 & 0 \\ 2 & -4 \end{pmatrix} - \begin{pmatrix} -1 & 4 \\ 3 & -5 \end{pmatrix}
$$
Answer 6:
$$
\begin{pmatrix} -2 & -4 \\ -1 & 1 \end{pmatrix}
$$
Question 7:
$$
\begin{pmatrix} 4 & 3 \\ 2 & 1 \end{pmatrix} \cdot \begin{pmatrix} -1 & 2 \\ -2 & 7 \end{pmatrix}
$$
Answer 7:
$$
\begin{pmatrix} -10 & 29\\ -4 & 11 \end{pmatrix}
$$
Question 8:
$$
\begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix} \cdot \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}
$$
Answer 8:
$$
\begin{pmatrix} 3 & 2 \\ 5 & 4\end{pmatrix}
$$
Question 9:
$$
\begin{pmatrix} 1 & 2 \\ 2 & -1 \end{pmatrix} + \begin{pmatrix} 3 & 2 \\ 1 & 0 \end{pmatrix} ^T
$$
Answer 9:
$$
\begin{pmatrix} 4 & 3 \\ 4 & -1 \end{pmatrix}
$$