1. The problem is to find the rank of a matrix. 2. The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. 3. To find the rank, perform row reduction (Gaussian elimination) to convert the matrix into its row echelon form. 4. Once in row echelon form, count the number of non-zero rows; this count is the rank of the matrix. 5. Without the specific matrix provided, this is the general method for finding the rank. 6. If you provide the matrix elements, I can perform these steps explicitly.