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Matrix Operations - Practice #3 (Grades 11-12)

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Matrix Operations - Practice #3

1. 
If the matrix [math][[2,8,12],[3,4,0],[8,10,4]][/math] is multiplied by the scalar 1/2, what is the result?
  1. [math][[4,16,24],[6,8,0],[16,20,8]][/math]
  2. [math][[12,8,2],[0,4,3],[4,10,8]][/math]
  3. [math][[4,6,16],[16,8,20],[24,0,8]][/math]
  4. [math][[1,4,6],[1.5,2,0],[4,5,2]][/math]
2. 
Perform the indicated operations. If the matrix does not exist, choose impossible.

[math][[8,3],[-1,-1]]-[[0,-7],[6,2]][/math]
  1. [math][[-8,-10],[-7,-3]][/math]
  2. [math][[-3,10],[-7,8]][/math]
  3. [math]"Impossible"[/math]
  4. [math][[8,10],[-7,-3]][/math]
3. 
Evaluate. [math][(2, -3) , (-4, 2)][/math] + [math][ (-1, -5), ( 3, -2) ][/math]
  1. [math][(-1, -8), (-1, 0)][/math]
  2. [math][(1, -8), (-1,0)][/math]
  3. [math][(1, -8), (-7, 0)][/math]
  4. None of the above
4. 
Evaluate.
[math] [ [-1, 10, 4], [0, -2, 7]] + [ [8, -9, 0], [5, -4, 2]] -2 [ [7, -1, 4], [5, -2, -9]] [/math]








5. 
If Matrix A = [math][(-3,1),(-2,4),(5,-1)][/math] and Matrix B = [math][(4,-3),(0,-2),(-2,4)][/math], then what is 3A - 2B ?
  1. [math][(-1,-3),(-6,8),(11,5)][/math]
  2. [math][(-1,9),(-6,8),(11,5)][/math]
  3. [math][(-1,9),(-6,8),(11,-11)][/math]
  4. [math][(-17,9),(-6,16),(19,-11)][/math]
6. 
Find the product, if possible. [math][[2,0],[-3,5],[1,4]]*[[3],[-2]][/math]
  1. [math][[6,-19,-5]][/math]
  2. [math][[6],[-19],[-5]][/math]
  3. [math][[5,-5],[0,3]][/math]
  4. Impossible
7. 
Evaluate.
[math] [[-8, 4], [6, -4]] [[2, 3], [3, 5]] + [[9],[7]] [-2, 3] [/math]






8. 
Find the inverse of [math]A= [[9,3],[5,2]][/math].






9. 
Find the inverse of [math]A= [[2,3],[7,11]] [/math].






10. 
Find the inverse of the matrix, if it exists.

[math][[-4,-2],[7,8]][/math]
  1. [math]"Does Not Exist"[/math]
  2. [math][[4/9,1/9],[-7/18,-2/9]][/math]
  3. [math][[2/9,1/9],[-7/18,-4/19]][/math]
  4. [math][[-4/9,-1/9],[7/18,2/9]][/math]
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