Question: A = $\begin{bmatrix}4 & 1 \\ 2 & 3\end{bmatrix}$. Graph shape: a 2\times2 matrix labeled A, positioned top-left.
1. **Problem Statement:** We are given a matrix $$A = \begin{bmatrix}4 & 1 \\ 2 & 3\end{bmatrix}$$ and asked to represent it graphically as a 2\times2 matrix labeled $A$ positioned top-left.
2. **Matrix Representation:** A matrix is a rectangular array of numbers arranged in rows and columns. Here, $A$ has 2 rows and 2 columns.
3. **Graphical Representation:** We will draw a square divided into 4 cells, each cell containing one element of the matrix $A$.
4. **Labeling:** The matrix is labeled $A$ and positioned at the top-left corner of the drawing area.
5. **No further calculations are required as this is a graphical representation of the matrix itself. The matrix elements are:
$$A_{11} = 4, \quad A_{12} = 1, \quad A_{21} = 2, \quad A_{22} = 3.$$