Matrix operations Mathematica allows to perform operations on the matrices. You can build a matrix using the Table function for example. In[10]:= A = Table[i+j,{i,2},{j,2}] Out[10]= {{2, 3}, {3, 4}} You can use the functions Det, Transpose and Inverse to find the determinant, transpose and the inverse of the matrix A respectively. In[16]:= Det[A] Out[16]= -1 In[17]:= Transpose[A] Out[17]= {{2, 3}, {3, 4}} In[18]:= Inverse[A] Out[18]= {{-4, 3}, {3, -2}} Also, you could find the eigen values for the matrices using the function 'Eigenvalues'.