Friday, August 15, 2014

Subtraction of Matrices

The subtraction of matrices is basically like matrix addition. You just subtract them instead of adding. For example:

        [3  7  5]               [5  2  9]
A =   [2  0  6]        B = [4  7  1]
        [8  9  1]               [3  2  6]

Where we have to solve A - B.

The solution is simply

      [ 3 - 5   7 - 2   5 - 9 ]  
      [ 2 - 4   0 - 7   6 - 1 ]
      [ 8 - 3   9 - 2   1 - 6 ]

         [ -2   5   -4 ]
     =  [ -2  -7    5 ]
         [  5   7   -5 ]

Like addition, we also cannot subtract matrices that have different sizes such as
       [ 7 ]
A = [ 2 ]    and     B = [  3  4  6  ]
       [ 4 ]

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