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Wednesday, August 13, 2014

Matrix Subtraction

Matrix Subtraction- you can subtract two matrices (of the same size) by adding their corresponding entries.

EXAMPLES: 

1.

2.
Given the following matrices, find A – Band A – C, or explain why you can not.
      A = [[ -1 2 0 ][ 0 3 6 ]] B = [[ 0 -4 3 ][ 9 -4 -3 ]] C = [[ 0 -4 ][ 9 -4 ]]
    A and B are the same size, each being 2 × 3 matrices

      A - B = [[ -1 2 0 ][ 0 3 6 ]] - [[ 0 -4 3 ][ 9 -4 -3 ]] = [[-1-0 2+4 0-3 ][ 0-9 3+4 6+3]]
    A and C are not the same size, since A is 2 × 3 and C is 2 × 2. So this subtraction is not defined.
      A - B = [[-1 6 -3 ][-9 7 9]]
      A – C is not defined, because A and C are not the same size.

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