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Mathematics
11th -
12thgrade
Determinants and Inverses of Matrices
20 questions
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- 1. Multiple Choice
What size is this matrix?
2x2
2x3
3x2
1x6
- 2. Multiple ChoiceDimensions?abcd
- 3. Multiple ChoiceWhat must be true in order to ADD two matrices?They must be square.The dimensions must be equal.The determinant can't equal 0.The column of the 1st must equal the row of the 2nd.
- 4. Multiple ChoiceFind A+B8 10
8 112 25
7 110 30
0 1can't add two together because the rows dont match columns - 5. Multiple Choice
What would be the dimensions (output) of AB?
undefined
2 X 2
3 X 2
3 X 3
- 6. Multiple Choicefind: B*A47 30
9 517 15
42 3510 25
7 1not possible because rows do not match columns - 7. Multiple Choice
What is the determinant of this matrix?
-2
2
10
24
- 8. Multiple Choice
What is the determinant of this matrix?
5
-5
0
-12
- 9. Multiple Choice
What is the formula for the determinant of a 2x2 matrix?
ad-bc
ab-cd
ad+bc
(a+d)(b+c)
- 10. Multiple ChoiceCalculate the determinant0-15-7010
- 11. Multiple Choice
Find the determinant of the given matrix?
5
-5
0
-75
- 12. Multiple ChoiceFind the determinant of the matrixABCD
- 13. Multiple ChoiceFind the determinant of the matrixABCD
- 14. Multiple Choice
What is the determinant of this matrix?
0
24
-24
-12
- 15. Multiple Choice
Find the inverse of the matrix.
No Inverse Exists
- 16. Multiple Choice
Find the inverse of the matrix.
No Inverse Exists
- 17. Multiple Choice
Find the inverse.
A
B
C
D
- 18. Multiple ChoiceWhat is the inverse of this matrix?(1/25) (-4/25)
(3/25) (13/25)(1/5) (-4/5)
(3/5) (13/5)(6/25) (-2/25)
(2/25) (9/25)(1/150) (-4/150)
(3/150) (13/150) - 19. Multiple Choice
Which of the following are NOT inverse matrices of each other?
- 20. Multiple ChoiceWhat is the inverse of the following matrix?
⌈4 −3⌉
⌊12 3⌋
*det= 38⌈³∕₃₈ ³∕₃₈⌉
⌊−⁶∕₁₉ ²∕₁₉⌋⌈⁴∕₃₈ −³∕₃₈⌉
⌊¹²∕₃₈ ³∕₃₈⌋⌈²∕₁₉ −³∕₃₈⌉
⌊−⁶∕₁₉ ³∕₃₈⌋⌈³∕₃₈ ³∕₃₈⌉
⌊−¹²∕₃₈ ⁴∕₃₈⌋ - Answer choicesTagsAnswer choicesTags