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How Do You Subtract Matrices?

Subtract the two matrices given in the diagram.

Summary

  1. These matrices have have the same dimensions, which means we can subtract them
  2. These matrices are all two by two or 2x2 matrices
  3. You can only subtract elements in corresponding positions
  4. 8 and -12 correspond
  5. 15 and 0 correspond
  6. 7 and 2 correspond
  7. -3 and -11 correspond

Notes

    1. In order to subtract two matrices, the matrices must have the same dimensions
    2. The dimensions of a matrix are how many rows and columns the matrix has
    1. The dimensions of a matrix are how many rows and columns the matrix has
    2. Both matrices are 'two by two' or '2x2' matrices
    1. Both matrices are 'two by two' or '2x2' matrices
    1. You can only subtract elements in corresponding positions
    2. Elements in the same row and column but in different matrices are said to have corresponding positions
    1. Elements in the same row and column but in different matrices are said to have corresponding positions
    1. Elements in the same row and column but in different matrices are said to have corresponding positions
    1. 7 and 2 correspond because they are both in the second row and first column of their matrices
    2. -3 and -11 correspond because they are both in the second row and second column of their matrices
    1. Elements in the same row and column but in different matrices are said to have corresponding positions
    2. We're going to create a new matrix by subtracting corresponding elements in the original matrices
    3. Our new matrix will have the same dimensions as the original ones, so it will be 2x2 as well
    1. So if you're subtracting elements in the first row and second column, you put the subtraction in the first row and second column
    1. Now we just need to simplify each of the elements of the new matrix!
    1. Subtracting a negative number is like adding just the positive version of that number
    1. The dimensions of a matrix are how many rows and columns the matrix has
    2. So each of our matrices has 2 rows and 2 columns