Determinants (Grades 11-12)
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Determinants
1.
For [math]A = [[1,3],[4,6]][/math], find [math]|A|[/math].
- -6
- 6
- 18
- -1
2.
What is the determinant of [math][[3,2],[6,4]][/math]?
- 10
- -10
- 0
- 26
3.
What is the determinant of [math][[15,3],[-6,4]][/math]?
- 45
- 78
- -45
- 55
4.
What is the determinant of the following matrix?
[math][[-5,0,-1], [1,2,-1], [-3,4,1]][/math]
[math][[-5,0,-1], [1,2,-1], [-3,4,1]][/math]
- 40
- -40
- 12
- -12
5.
What is the determinant of [math][[3,0,1],[2,1,4],[5,2,1]][/math]?
- -22
- 38
- -38
- 0
6.
What is the determinant of [math][[1,-3,4],[6,2,-1],[0,3,5]][/math] ?
- 25
- 175
- 40
- -25
7.
What is the determinant of [math][[1,-3,4],[6,2,-1],[0,3,5]][/math]?
- 25
- -25
- 40
- 175
8.
Evaluate the determinant using diagonals.
[math][[2,-3,5],[-4,6,-2],[4,-1,-6]][/math]
[math][[2,-3,5],[-4,6,-2],[4,-1,-6]][/math]
- -80
- -284
- 24
- 80
9.
Evaluate the determinant using diagonals.
[math][[-5,-6,7],[4,0,5],[-3,8,2]][/math]
[math][[-5,-6,7],[4,0,5],[-3,8,2]][/math]
- [math]562[/math]
- [math]-80[/math]
- [math]26[/math]
- [math]-561[/math]
10.
Find the determinant of the following.
[math][(-11,3,10),(19,2,-4),(-8,-10,20)][/math]
[math][(-11,3,10),(19,2,-4),(-8,-10,20)][/math]
- -2478
- -2784
- 2784
- none of the above
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