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Matrix and Its Application

Total questions: 20

Worksheet time: 1hrs 24mins

Name
Class
Date
1.

What is a Matrix?

a)

An equation of over 5 numbers or symbols

b)

A set of numbers in rows and columns

c)

A method of finding the nth value of a series

d)

A complicated number system

2.

What is the name of each entry of a matrix?

a)

Row

b)

Element

c)

Dimension

d)

Numbers

3.
Name the order of this matrix.
a)
3x1
b)
1x3
c)
3
d)
1
4.
How many columns are in a 5 x 4 matrix?
a)
5
b)
4
c)
20
d)
9
5.

In Matrix R (pictured) what element is r23?

a)

8

b)

9.01

c)

6

d)

1

6.
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)
4x1
b)
4x33
c)
33x1
d)
Matrix does not exist
7.
Subtract
a)
-5
-8
3
10
b)
-9
8
3
2
c)
5
-8
3
10
d)
-5
8
3
2
8.

Can the operation be performed?

a)

Yes

b)

No

c)

Sometimes

d)

only Ms. Jones knows

9.

find the value of m, n, p and q.

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

10.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The size must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

11.

Determine whether the matrix product A3x2 B2x5 is defined. If so, what are the dimensions of the product.

a)

no

b)

yes, 2 x 5

c)

yes , 3 x 5

d)

yes , 2 x 3

12.
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.
13.
find: B*A
a)
47     30
9     5
b)
17     15
42     35
c)
10     25
7     1
d)
not possible because rows do not match columns
14.

Perform the operation if possible.

a)

A

b)

B

c)

C

d)

D

15.

Perform the operation if possible.

a)

A

b)

B

c)

C

d)

D

16.
Matrix Multiplication is NOT defined for:
a)
SU
b)
UT
c)
SR
d)
TR
17.
If a system has infinite solutions, then it means:
a)
The lines or planes don't intersect.
b)
The lines or planes are parallel.
c)
The lines or planes intersect at a line.
d)
You get 0=some number when solving the system.
18.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D
19.
Calculate the determinant
a)
0
b)
-15
c)
-70
d)
10
20.

Evaluate the determinant of the matrix.

a)

695

b)

284

c)

392

d)

-179