WorksheetsAMDM Matrix Quiz 2 Review
Total questions: 25
Worksheet time: 3hrs 55mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
2.
a)
A
b)
B
c)
C
d)
D
3.
a)
A
b)
B
c)
C
d)
D
4.
a)
A
b)
B
c)
C
d)
D
5.
a)
A
b)
B
c)
C
d)
D
6.
a)
A
b)
B
c)
C
d)
D
7.
a)
A
b)
B
8.
a)
A
b)
B
c)
C
d)
D
9.
Solve for the determinant of the following matrix:
|12 −3|
|−6 15|
a)
198
b)
162
c)
-333
d)
-9
10.
Calculate the determinant
a)
0
b)
none
c)
-32
d)
-8
11.
Evaluate the determinant of the matrix.
a)
-21
b)
0
c)
9
d)
12
12.
Evaluate the determinant of the matrix.
a)
-21
b)
0
c)
9
d)
12
13.
Calculate the determinant
a)
0
b)
-15
c)
-70
d)
10
14.
Which set-up would solve the system for y using Cramer's rule?
4x-6y=4
x+5y=14
a)
A
b)
B
c)
C
d)
D
15.
Solve for x and y using CRAMER'S RULE
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
16.
Solve for x and y. Use Cramer's
2x − 3y = −1
y = x − 1
2x − 3y = −1
y = x − 1
a)
(-2,-3)
b)
(0,-1)
c)
(3,4)
d)
(4,3)
17.
What is the solution? Use Cramer's
a)
A
b)
B
c)
C
d)
D
18.
Use Cramer's Rule to Solve the Following:
2x - 5z = 6
-3x + 4y - 2z = 26
-3x + y - 4z = 18
a)
A
b)
B
19.
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)
20.
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⌋
21.
Which of the following matrices has an inverse of ⌈−⅗ ⅘⌉
⌊⅖ −⅕⌋ ?
*det = -5
⌊⅖ −⅕⌋ ?
*det = -5
a)
⌈1 2⌉
⌊3 4⌋
⌊3 4⌋
b)
⌈1 3⌉
⌊2 4⌋
⌊2 4⌋
c)
⌈1 4⌉
⌊2 3⌋
⌊2 3⌋
d)
⌈−3 4⌉
⌊2 −1⌋
⌊2 −1⌋
22.
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⌋
23.
Which of the following has a determinant of 0?
*det= ad-bc
*det= ad-bc
a)
⌈1 0⌉
⌊2 3⌋
⌊2 3⌋
b)
⌈-4 -2⌉
⌊6 3⌋
⌊6 3⌋
24.
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]
25.
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
100 %
