Addition, subtraction, multiplication, transpose, determinant, inverse, rank, powers, scalar multiples, and linear systems. Everything is computed exactly with fractions rather than decimals, so 1/3 stays 1/3. Touch a cell of the result and the row of A and the column of B that produced it light up in color. For the inverse, the determinant, the rank, and linear systems, the Gauss-Jordan elimination is laid out step by step.