Software Interest Group

• Schedule
• Documentation
• Resources
• Thanks

Vector & Matrix Operations

In[1]:= v = {x, y}
Out[1]= {x, y}

In[2]:= p v + q
Out[2]= {q + p x, q + p y}

In[3]:= m = {{a, b}, {c, d}}
Out[3]= {{a, b}, {c, d}}

In[4]:=  m[[1,2]]
Out[4]= b

In[5]:= m . v
Out[5]= {a x + b y, c x + d y}

In[6]:= v . m
Out[6]= {a x + c y, b x + d y}

In[7]:= m . m
           2                                       2
Out[7]= {{a  + b c, a b + b d}, {a c + c d, b c + d }}

In[8]:= v . v
         2    2
Out[8]= x  + y

In[9]:= Det[m]
Out[9]= -(b c) + a d

In[10]:= Inverse[m] 
                d               b                  c              a
Out[10]= {{------------, -(------------)}, {-(------------), ------------}
}
           -(b c) + a d    -(b c) + a d       -(b c) + a d   -(b c) + a d

In[11]:= n = {{1, 3}, {5, 7}}
Out[11]= {{1, 3}, {5, 7}}

In[12]:= Eigenvalues[n]
          8 + Sqrt[96]  8 - Sqrt[96]
Out[12]= {------------, ------------}
               2             2

In[13]:= Eigenvectors[n]
           -3 - Sqrt[24]       -3 + Sqrt[24]
Out[13]= {{-------------, 1}, {-------------, 1}}
                 5                   5