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WorksheetsDBM10013: Matrices and Vectors
Total questions: 20
Worksheet time: 42mins
Name
Class
Date
1.
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
2.
In Matrix R (pictured) what element is in the second row, third column?
a)
8
b)
9.01
c)
6
d)
1
3.
What comes first in the order?
a)
Row
b)
Column
4.
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.
5.
You can multiply a 2X3 matrix by which matrix?
a)
2X2
b)
2X12
c)
3X12
d)
2X3
6.
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
7.
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
8.
What do m, n, p and q equal in this scalar matrix multiplication?
a)
m=8, n=9, p=-4, q=4
b)
m=15, n = -45, p=20, q=-5
c)
m=20, n=-5, p=15, q=-45
d)
m=-5, n=20, p=-45, q=15
9.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
10.
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
11.
Find the component form of vector AB with initial point A(0, 8) and terminal point B(-9, -3)
a)
<-9, 5>
b)
<-9, 11>
c)
<-9, -11>
d)
<-9, 5>
12.
If y = <2, 0> and z = <-1, -4>, find 3y - 2z
a)
<5, -8>
b)
<4, 8>
c)
<8, 8>
d)
<-8, -8>
13.
Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).
a)
6
b)
8.2
c)
10
d)
10.4
14.
Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).
a)
6
b)
8.2
c)
10
d)
10.4
15.
Write in component form.
a)
<0, 4>
b)
<8, 2>
c)
<2, 8>
d)
<0, 2>
16.
If w = <2, -5> and y = <2, 0>, find 2w + y
a)
<-10, 2>
b)
<4, -5>
c)
<-6, 10>
d)
<6, -10>
17.
Given u = <3, 7> and v =<-5, 4>, find 2v - 3u
a)
<21, 2>
b)
<-19, -13>
c)
<-15, 3>
d)
23
18.
Find the magnitude of the vector <-5, 12>
a)
13
b)
10.91
c)
7
d)
17
19.
Find the magnitude of the vector <10, -8>
a)
2
b)
12.81
c)
6
d)
18
20.
If w = <2, -5> and y = <2, 0>, find 2w + y
a)
<-10, 2>
b)
<4, -5>
c)
<-6, 10>
d)
<6, -10>
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