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WorksheetsInverse Matrices
Total questions: 6
Worksheet time: 3600secs
Name
Class
Date
1.
Identify
a)
singular matrix
b)
partial fraction
c)
coeffecient matrix
d)
inverse matrix
2.
Calculate the determinant
a)
0
b)
-15
c)
-70
d)
10
3.
What is the determinant of this matrix?
a)
5
b)
25
c)
-25
d)
1
4.
Does the following have an inverse?
⌈6 4⌉
⌊3 2⌋
*Inverse=
¹∕detA × ⌈d −b⌉ ⌊−c a⌋
⌈6 4⌉
⌊3 2⌋
*Inverse=
¹∕detA × ⌈d −b⌉ ⌊−c a⌋
a)
Yes,
b)
No.
5.
What is the inverse of this matrix?
a)
(1/25) (-4/25)
(3/25) (13/25)
(3/25) (13/25)
b)
(1/5) (-4/5)
(3/5) (13/5)
(3/5) (13/5)
c)
(6/25) (-2/25)
(2/25) (9/25)
(2/25) (9/25)
d)
(1/150) (-4/150)
(3/150) (13/150)
(3/150) (13/150)
6.
What is the inverse of the following matrix?
⌈4 −3⌉
⌊12 3⌋
*det= 38
⌈4 −3⌉
⌊12 3⌋
*det= 38
a)
⌈³∕₃₈ ³∕₃₈⌉
⌊−⁶∕₁₉ ²∕₁₉⌋
⌊−⁶∕₁₉ ²∕₁₉⌋
b)
⌈⁴∕₃₈ −³∕₃₈⌉
⌊¹²∕₃₈ ³∕₃₈⌋
⌊¹²∕₃₈ ³∕₃₈⌋
c)
⌈²∕₁₉ −³∕₃₈⌉
⌊−⁶∕₁₉ ³∕₃₈⌋
⌊−⁶∕₁₉ ³∕₃₈⌋
d)
⌈³∕₃₈ ³∕₃₈⌉
⌊−¹²∕₃₈ ⁴∕₃₈⌋
⌊−¹²∕₃₈ ⁴∕₃₈⌋
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