Matrix Basics

A matrix is a grid of entries in row/column format. Matrix entries are denoted by aij where is the row and j is the column
 a11  a12  a13 
 a21  a22  a23 
 a31  a32  a33 
Matrix addition and subtraction involves adding or subtracting respective matrix entries
 a11  a12  a13 
 a21  a22  a23 
 a31  a32  a33 
  
 + 
  
 b11  b12  b13 
 b21  b22  b23 
 b31  b32  b33 
  
 = 
  
 a11 + b11  a12 + b12  a13 + b13 
 a21 + b21  a22 + b22  a23 + b23 
 a31 + b31  a32 + b32  a33 + b33 




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