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Determinants (Grades 11-12)

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Determinants

1. 
For [math]A = [[1,3],[4,6]][/math], find [math]|A|[/math].
  1. -6
  2. 6
  3. 18
  4. -1
2. 
What is the determinant of [math][[3,2],[6,4]][/math]?
  1. 10
  2. -10
  3. 0
  4. 26
3. 
What is the determinant of [math][[15,3],[-6,4]][/math]?
  1. 45
  2. 78
  3. -45
  4. 55
4. 
What is the determinant of the following matrix?
[math][[-5,0,-1], [1,2,-1], [-3,4,1]][/math]
  1. 40
  2. -40
  3. 12
  4. -12
5. 
What is the determinant of [math][[3,0,1],[2,1,4],[5,2,1]][/math]?
  1. -22
  2. 38
  3. -38
  4. 0
6. 
What is the determinant of [math][[1,-3,4],[6,2,-1],[0,3,5]][/math] ?
  1. 25
  2. 175
  3. 40
  4. -25
7. 
What is the determinant of [math][[1,-3,4],[6,2,-1],[0,3,5]][/math]?
  1. 25
  2. -25
  3. 40
  4. 175
8. 
Evaluate the determinant using diagonals.

[math][[2,-3,5],[-4,6,-2],[4,-1,-6]][/math]
  1. -80
  2. -284
  3. 24
  4. 80
9. 
Evaluate the determinant using diagonals.

[math][[-5,-6,7],[4,0,5],[-3,8,2]][/math]
  1. [math]562[/math]
  2. [math]-80[/math]
  3. [math]26[/math]
  4. [math]-561[/math]
10. 
Find the determinant of the following.

[math][(-11,3,10),(19,2,-4),(-8,-10,20)][/math]
  1. -2478
  2. -2784
  3. 2784
  4. none of the above
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