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8-1 to 8-3 Matrix Operations

Total questions: 20

Worksheet time: 1hrs 25mins

Name
Class
Date
1.
Subtract
a)
-5
-8
3
10
b)
-9
8
3
2
c)
5
-8
3
10
d)
-5
8
3
2
2.
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.
3.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
4.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
5.
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
6.
Multiply
a)
20     15    -10
30     -5         0
b)
-20      15     -10
30     -5          0
c)
1        8       3
11     4        5
d)
20     -15     10
-30         5        0  
7.
Find the product.
a)
undefined
b)
-3   16
17   12
8   -10
c)
3   12 
-15  -8
-1   -3
8.
What is the value of element a23?
a)
2
b)
-1
c)
6
d)
1
9.
What, in relation to matrices, is a Scalar?
a)
A rate-of change-of measurement i.e.
 "5m/s2"
b)
A scaly pet i.e.
"A Pygmy Alligator"
c)
A single value i.e.
"80"
d)
Their is no such thing as a scalar i.e. 
10.

The order of a matrix is written as

a)

number of rows x number of columns

b)

number of columns x number of rows

c)

a multiple

d)

a number

11.
How many rows are in a 7 x 3 matrix?
a)
7
b)
3
c)
21
d)
10
12.
How many columns are in a 5 x 4 matrix?
a)
5
b)
4
c)
20
d)
9
13.

Add.

a)

No Sum Exists

b)
c)
d)
14.
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
15.

If the matrices can be multiplied, what are the dimensions of the product?

a)

Matrix multiplication is not possible.

b)

3 x 1

c)

1 x 2

d)

3 x 2

16.

What must be true in order to MULTIPLY two matrices?

a)

They must be square.

b)

Their dimensions must be equal.

c)

The number of columns of the 1st must equal the number of rows of the second.

d)

The number of rows of the 1st must equal the number of columns of the second.

17.

[A] is a 2x3 matrix.

[B] is a 2x5 matrix.

Determine whether the matrix product of [A]*[B] is defined. If so, what are the dimensions of the product?

a)

undefined

b)

2x5

c)

3x5

d)

2x3

18.

MULTIPLE SELECT!

You can multiply a 2x3 matrix by which of the following matrices?

Select all that apply.

a)

2x3

b)

2x5

c)

3x5

d)

3x2

19.

simplify

a)
b)
c)
d)
20.

simplify

a)
b)
c)
d)