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WorksheetsCh. 10 Test Review
Total questions: 19
Worksheet time: 26mins
Name
Class
Date
1.
What are the dimensions of this matrix?
a)
3x1
b)
1x3
c)
3x3
d)
1x1
2.
In Matrix R (pictured) what element is a23?
a)
8
b)
9.01
c)
6
d)
1
3.
What must be true in order to ADD two matrices?
a)
They must be square.
b)
The dimensions must be equal.
c)
The determinant can't equal 0.
d)
The column of the 1st must equal the row of the 2nd.
4.
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
5.
Subtract
a)
-5
-8
3
10
-8
3
10
b)
-9
8
3
2
8
3
2
c)
5
-8
3
10
-8
3
10
d)
-5
8
3
2
8
3
2
6.
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
7.
Given matrices A & B:
A is a (4x33) matrix
B is a (33x1) matrix
What are the dimensions of the product of A times B?
A is a (4x33) matrix
B is a (33x1) matrix
What are the dimensions of the product of A times B?
a)
4x1
b)
4x33
c)
33x1
d)
Matrix does not exist
8.
Subtract
a)
3 -8
0 -1
0 -1
b)
3 -4
8 -13
8 -13
c)
-3 8
0 1
0 1
d)
3 -8
-8 1
-8 1
9.
What do w, x, y and z equal in this matrix subtraction?
a)
w = 13, x = 4, y = 7, z = 23
b)
w = 13, x = -4, y = 11, z = 23
c)
w = 13, x = 4, y = 11, z = 23
d)
w = 13, x = 4, y = 11, z = 17
10.
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
11.
Can the operation be performed?
a)
Yes
b)
No
c)
Sometimes
d)
only JLo knows
12.
What is a Matrix?
a)
An equation of over 5 numbers or symbols
b)
A rectangular arrangement of numbers
c)
A method of finding the nth value of a series
d)
A complicated number system
13.
What is the name of each entry of a matrix?
a)
Row
b)
Element
c)
Dimension
d)
Rectangle
14.
a)
A
b)
B
c)
C
d)
D
15.
Solve the following system using matrices, as in the video.
x−6y+4z=−12
x+y−4z=12
2x+2y+5z=−15
a)
(0, 0, -3)
b)
Infinitely Many Solutions
c)
No Solution
d)
(0, 0, 0)
16.
Solving Systems:
Solve for x and y
3x + 2y = 16
7x + y = 19
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
17.
A system of pulleys is loaded with a 128 lb and 32 lb weights. The tensions B and C in the ropes and the acceleration (A) of the 32 lb weight are represented by the following system:
B - 2C. = 0
B - 2A = 128
C + A = 32
Use an augmented matrix to find B, C, and A.
a)
B = 96
C = 48
A = -16
b)
B = 0
C = 128
A = 32
c)
B= 0
C= 0
A= 1
18.
Is matrix multiplication commutative? Explain.
4 lines
19.
What makes a product defined?
4 lines
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