1. **State the problem:** We are given a matrix $$A = \begin{pmatrix} 2 & -3 & 4 & 1 \\ 0 & 5 & 1 & 6 \\ -5 & 1 & 0 & 4 \\ -4 & 5 & -2 & 0 \end{pmatrix}$$ and need to understand or analyze it as per the problem's context (e.g., find determinant, inverse, rank, etc.). Since no specific operation is requested, we will explain the matrix and how to interpret it. 2. **Matrix definition:** A matrix is a rectangular array of numbers arranged in rows and columns. Here, matrix $$A$$ is a $$4 \times 4$$ matrix (4 rows and 4 columns). 3. **Important properties:** - The elements are integers. - Square matrices like this one can have determinants and inverses. - Operations such as matrix multiplication, finding eigenvalues, or solving systems of equations can be performed. 4. **Example operation - Determinant:** The determinant of a $$4 \times 4$$ matrix can be calculated using cofactor expansion or row reduction. 5. **Summary:** Without a specific question, the matrix $$A$$ is a $$4 \times 4$$ integer matrix ready for various linear algebra operations. Final answer: Matrix $$A$$ is a $$4 \times 4$$ matrix with elements as given, suitable for further analysis depending on the problem context.