Matrices

The order of the matrix $\left(\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\end{array}\right)$ is ...

The element $a_{23}$ of the matrix $A=\left(\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\end{array}\right)$ is ...

Given $A=\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$ and $B=\left(\begin{array}{cc}5& 6\\ 7& 8\end{array}\right)$. The result of $A+B$ is ...

The transpose of the matrix $\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$ is ...

Given $A=\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$. The result of $2A$ is ...

The determinant of the matrix $\left(\begin{array}{cc}2& 1\\ 1& 3\end{array}\right)$ is ...

Given $A=\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$ and $B=\left(\begin{array}{cc}0& 1\\ 1& 0\end{array}\right)$. The result of $A\times B$ is ...

The determinant of the matrix $\left(\begin{array}{cc}3& 2\\ 2& 3\end{array}\right)$ is ...

The inverse of the matrix $\left(\begin{array}{cc}2& 1\\ 1& 1\end{array}\right)$ is ...

The inverse of the matrix $\left(\begin{array}{cc}2& 3\\ 1& 2\end{array}\right)$ is ...

Given $A=\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$ and $B=\left(\begin{array}{cc}2& 0\\ -1& 3\end{array}\right)$. The result of $A+B$ is ...

The transpose of the matrix $\left(\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\end{array}\right)$ is ...

Given $\det \left(\begin{array}{cc}x& 2\\ 3& x\end{array}\right)=10$. The positive value of $x$ satisfying this is ...

Given $A=\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$. The result of $A^2$ is ...

The inverse of the matrix $\left(\begin{array}{cc}1& 2\\ 3& 5\end{array}\right)$ is ...

Given $A=\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$ and $B=\left(\begin{array}{cc}4& 3\\ 2& 1\end{array}\right)$. The value of $\det (AB)$ is ...

The inverse of the matrix $\left(\begin{array}{cc}2& 3\\ 3& 4\end{array}\right)$ is ...

Given $A=\left(\begin{array}{cc}2& 1\\ 5& 3\end{array}\right)$. The inverse of matrix $A$ is ...

Given $A=\left(\begin{array}{cc}2& 1\\ 1& 1\end{array}\right)$. The matrix $X$ satisfying $AX=\left(\begin{array}{c}5\\ 3\end{array}\right)$ is ...

Given $\det \left(\begin{array}{cc}2x& 3\\ 4& x\end{array}\right)=-4$. The positive value of $x$ is ...