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WorksheetsDeterminants and Cramer's Rule
Total questions: 30
Worksheet time: 3hrs 20mins
Name
Class
Date
1.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D
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.
Calculate the determinant
a)
0
b)
none
c)
-32
d)
-8
4.
Dimensions?
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.
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
8.
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)
9.
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)
10.
Solve for the determinant of the following matrix:
|12 −3|
|−6 15|
a)
198
b)
162
c)
-333
d)
-9
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.
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)
14.
What is the solution? Use Cramer's
a)
A
b)
B
c)
C
d)
D
15.
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)
16.
Solve by elimination.
4x + 2y = 12
4x + 8y = -24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
17.
-4x - 6y = 6
4x + 6y = -4
4x + 6y = -4
a)
no solution
b)
(2,0)
c)
(-4,0)
d)
(0,0)
18.
You can multiply a 2X3 matrix by which matrix?
a)
2X2
b)
2X12
c)
3X12
d)
2X3
19.
Find the product of the two matrices.
a)
undefined
b)
-3 16
17 12
8 -10
17 12
8 -10
c)
3 12
-15 -8
-1 -3
-15 -8
-1 -3
20.
Find the product of the two matrices.
a)
1 2
6 -8
6 -8
b)
-3 -5
-5 -11
-5 -11
c)
-2 8
-6 -12
-6 -12
d)
2 -3
5 -2
5 -2
21.
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
22.
a)
A
b)
B
c)
C
d)
D
23.
a)
b)
c)
d)
24.
a)
b)
c)
d)
25.
a)
b)
c)
d)
26.
Name the order of this matrix.
a)
3x1
b)
1x3
c)
3
d)
1
27.
How many columns are in a 5 x 4 matrix?
a)
5
b)
4
c)
20
d)
9
28.
Add
a)
11 8
-4 2
-4 2
b)
3 2
-6 -6
-6 -6
c)
-3 2
-4 -6
-4 -6
d)
10 8
-6 2
-6 2
29.
Multiply
a)
20 15 -10
30 -5 0
30 -5 0
b)
-20 15 -10
30 -5 0
30 -5 0
c)
1 8 3
11 4 5
11 4 5
d)
20 -15 10
-30 5 0
-30 5 0
30.
a)
undefined
b)
c)
d)
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