WorksheetsFinding Inverses of Matrices
Total questions: 13
Worksheet time: 1hrs 26mins
Name
Class
Date
1.
What size is this matrix?
a)
2x2
b)
2x3
c)
3x2
d)
1x6
2.
What is the formula for the determinant of a 2x2 matrix?
a)
ad-bc
b)
ab-cd
c)
ad+bc
d)
(a+d)(b+c)
3.
What is the determinant of this matrix?
a)
5
b)
-5
c)
0
d)
-12
4.
Will this matrix have an inverse?
a)
Yes
b)
No
c)
Unable to Determine
5.
Calculate the determinant
a)
0
b)
-15
c)
-70
d)
10
6.
Calculate the Determinant
a)
det = 2
b)
det = -2
c)
det = -64
d)
det = 64
7.
What is a23
a)
14
b)
4
c)
1
d)
3
8.
Which of the following matrices do NOT have an inverse?
*Inverse=
¹∕detA × ⌈d −b⌉ ⌊−c a⌋
*Inverse=
¹∕detA × ⌈d −b⌉ ⌊−c a⌋
a)
[1 2]
[3 4]
[3 4]
b)
[6 0]
[4 2]
[4 2]
c)
⌈6 3⌉
⌊4 2⌋
⌊4 2⌋
9.
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)
10.
Which of the following is the inverse of the matrix A=
⌈3 0⌉
⌊0 2⌋
*Inverse=
¹∕detA × ⌈d −b⌉ ⌊−c a⌋
⌈3 0⌉
⌊0 2⌋
*Inverse=
¹∕detA × ⌈d −b⌉ ⌊−c a⌋
a)
[1/2 0]
[0 1/3]
[0 1/3]
b)
[-3 0]
[0 -2]
[0 -2]
c)
⌈1/3 0⌉
⌊0 1/2⌋
⌊0 1/2⌋
d)
[2 0]
[0 3]
[0 3]
11.
Are A and B inverses?
A = ⌈3 -10⌉
⌊1 4⌋
B = ⌈2/11 5/11⌉
⌊-1/22 3/22⌋
*AB=I
A = ⌈3 -10⌉
⌊1 4⌋
B = ⌈2/11 5/11⌉
⌊-1/22 3/22⌋
*AB=I
a)
Yes
b)
No
12.
Are these matrices inverses of each other?
a)
Yes
b)
No
c)
Unable to Determine
13.
Find the inverse.
a)
A
b)
B
c)
C
d)
D
100 %
