WorksheetsTEST Pre-Calculus Matrices, Determinants, Inverses
Total questions: 15
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
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)
2.
Solve for the determinant of the following matrix:
⌈12 −3⌉
⌊−6 15⌋
*detA= ad-bc
⌈12 −3⌉
⌊−6 15⌋
*detA= ad-bc
a)
198
b)
162
c)
-333
d)
-9
3.
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⌋
4.
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
5.
What size is this matrix?
a)
2x2
b)
2x3
c)
3x2
d)
1x6
6.
What would be the dimensions (output) of AB?
a)
undefined
b)
2 X 2
c)
3 X 2
d)
3 X 3
7.
find: B*A
a)
47 30
9 5
9 5
b)
17 15
42 35
42 35
c)
10 25
7 1
7 1
d)
not possible because rows do not match columns
8.
Find the inverse of the matrix.
a)
b)
c)
d)
No Inverse Exists
9.
What is A-1?
a)
b)
c)
d)
10.
Find the product.
a)
undefined
b)
-3 16
17 12
8 -10
17 12
8 -10
c)
3 12
-15 -8
-1 -3
-15 -8
-1 -3
11.
In Matrix R (pictured) what is the value of element R3,2
a)
8
b)
9.01
c)
6
d)
1
12.
Find A+B
a)
8 10
8 1
8 1
b)
12 25
7 1
7 1
c)
10 30
0 1
0 1
d)
can't add two together because the rows dont match columns
13.
a)
A
b)
B
c)
C
d)
D
14.
What is a23
a)
14
b)
4
c)
1
d)
3
15.
What is the determinant of this matrix?
a)
5
b)
25
c)
-25
d)
1
100 %
