Adding and Subtracting Matrices (Grades 11-12)

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Adding and Subtracting Matrices

1. 
Add the following matrices. [math] [[4,-3],[-1,6]] + [[3,5],[2,-8]][/math]
  1. [math] [[7,8],[3,14]][/math]
  2. [math] [[7,2],[1,-2]] [/math]
  3. [math] [[9,0],[-9,8]] [/math]
  4. [math] [[7,-2],[-3,-2]] [/math]
2. 
Evaluate. [math] [[5,4],[-3,8],[-2,1]] + [[1,0],[-5,5],[9,-2]] [/math]
  1. [math] [[6,4],[2,3],[7,-1]][/math]
  2. [math] [[5,5],[ 2,3],[-4,10]][/math]
  3. [math] [[6,4],[-8,13],[7,-1]][/math]
  4. Not possible to add (they are not square matrices).
3. 
Evaluate. [math] [[1,0,0],[0,1,0],[0,0,1]] + [[1,0,-9],[-5,2,5],[7,-2,3]] [/math]
  1. [math] [[2,1,-8],[-4,3,6],[8,-1,4]][/math]
  2. [math] [[2,0,9],[5,3,5],[7,2,3]][/math]
  3. [math] [[2,0,-9],[-5,3,5],[7,-2,4]][/math]
  4. [math] [[1,0,-9],[-5,2,5],[7,-2,3]] [/math]
4. 
Evaluate. [math] [[5,0,-3,-2,1]] + [[-2,0,-5,7,1]][/math]
  1. [math] [[5,-2,-5,7,1]][/math]
  2. [math] [[7,0,8,9,2]][/math]
  3. [math] [[6,7,-8,-2,1]][/math]
  4. [math] [[3,0,-8,5,2]][/math]
5. 
Add. [math] [[4,9,-6],[-3,0,8],[2,2,5]] + [[-10, 2,6],[5,-7,-8],[2,12,-5]] [/math]
  1. [math] [[-6,11,0],[2,-7,0],[4,14,0]] [/math]
  2. [math] [[14,11,12],[8,-7,16],[4,14,10]] [/math]
  3. [math] [[-14, 7,-12],[-8,7,16],[0,-10,10]][/math]
  4. [math] [[-6,11],[2,-7],[4,14]] [/math]
6. 
Subtract. [math] [[4,8],[7,2]] - [[3,9],[3,6]][/math]
  1. [math] [[1,-1],[4,-4]][/math]
  2. [math] [[-5,5],[1,-1]] [/math]
  3. [math] [[7,17],[10,8]][/math]
  4. [math][[1,8],[4,3]][/math]
7. 
Evaluate. [math][[3,-9,5],[0,-1,4]] - [[4,-3,-11],[-3,0,7]] [/math]
  1. [math] [[-1,-12,-6],[-4,-1,-3]] [/math]
  2. [math] [[-1,6,-16],[3,1,-3]] [/math]
  3. [math] [[-1,-6,16],[3,-1,-3]][/math]
  4. Cannot subtract because they are not square matrices.
8. 
Subtract the matrices. [math][[3,-9,2]] - [[5],[8],[-3]][/math]
  1. [math] [[-2,-17,5]][/math]
  2. [math][[-2],[-17],[5]][/math]
  3. [math][[0,-5,0],[3,-17,2],[0,3,0]][/math]
  4. Cannot subtract matrices of different dimensions.
9. 
Find the difference. [math] [[2,0],[-4,1],[8,12],[0,-3],[1,1]] - [[-3,5],[6,10],[3,12],[-4,4],[8,7]] [/math]
  1. [math] [[5,5],[-2,-9],[-5,-24],[-4,1],[-7,-6]] [/math]
  2. [math] [[5,-5],[-10,-9],[5,0],[4,-7],[-7,-6]][/math]
  3. [math] [[-1,5],[2,11],[11,24],[-4,1],[9,8]] [/math]
  4. [math] [[-5,-5],[-2,9],[5,24],[-4,-7],[7,6]][/math]
10. 
If [math]A = [[4,0,2],[-1,-5,7],[9,10,-2]][/math] and [math]B = [[0,-3,8],[3,1,9],[-2,-2,11]][/math], find [math]B-A[/math].
  1. [math] [[4,3,-6],[-4,-6,-2],[11,12,-13]][/math]
  2. [math] [[4,-3,10],[2,-4,2],[7,8,9]] [/math]
  3. [math] [[-4,-3,6],[4,6,2],[-11,-12,13]][/math]
  4. [math] [[-4,-3,-6],[4,6,16],[7,8,13]][/math]

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