Contoh 3 langkah, dijalankan berurutan dalam satu sesi. Setiap langkah dieksekusi pada mesin dan keluaran di bawah adalah apa yang dihasilkannya.
m = HilbertMatrix[7]{{1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7}, {1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8}, {1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9}, {1/4, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10}, {1/5, 1/6, 1/7, 1/8, 1/9, 1/10, 1/11}, {1/6, 1/7, 1/8, 1/9, 1/10, 1/11, 1/12}, {1/7, 1/8, 1/9, 1/10, 1/11, 1/12, 1/13}}MatrixForm[m]MatrixForm[{{1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7}, {1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8}, {1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9}, {1/4, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10}, {1/5, 1/6, 1/7, 1/8, 1/9, 1/10, 1/11}, {1/6, 1/7, 1/8, 1/9, 1/10, 1/11, 1/12}, {1/7, 1/8, 1/9, 1/10, 1/11, 1/12, 1/13}}]TraditionalForm[m]TraditionalForm[{{1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7}, {1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8}, {1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9}, {1/4, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10}, {1/5, 1/6, 1/7, 1/8, 1/9, 1/10, 1/11}, {1/6, 1/7, 1/8, 1/9, 1/10, 1/11, 1/12}, {1/7, 1/8, 1/9, 1/10, 1/11, 1/12, 1/13}}]