Free Printable G11 matrices

1.

What are the dimensions of this matrix?

a)

3x1

b)

1x3

c)

3x3

d)

1x1

2.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

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

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

5.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

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.

What is the determinant of this matrix? Calculate by hand.

a)

5

b)

-5

c)

0

d)

-12

8.

Will this matrix have an inverse?

a)

Yes

b)

No

c)

Unable to Determine

9.

What comes first in the order?

a)

Row

b)

Column

10.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

11.

Find the product of the two matrices.

a)

1 2
6 -8

b)

-3 -5
-5 -11

c)

-2 8
-6 -12

d)

2 -3
5 -2

12.

Can the operation be performed?

a)

Yes

b)

No

c)

I Don't Know

d)

Maybe

13.

If the matrices can be multiplied, what dimension is the product? If not, write undefined.

a)

( 2 x 2 )

b)

( 6 x 2)

c)

( 2 x 6 )

d)

( 3 x 2 )

14.

If the matrices can be multiplied, what dimension is the product? If not, write undefined.

a)

( 3 x 1 )

b)

( 3 x 2 )

c)

( 3 x 3 )

d)

undefined

15.

Evaluate the determinant of the matrix.

a)

$-30$

b)

$-10$

c)

$10$

d)

$-55$

16.

Evaluate the determinant of the matrix.

a)

$0$

b)

$-10$

c)

$20$

d)

$-20$

17.

Solve the system of equations using Cramer's Rule.

a)

$\left(-3,-1\right)$

b)

$\left(-6,6\right)$

c)

$\left(5,-3\right)$

d)

$\left(2,-6\right)$

18.

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

19.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. How many of each type of ticket were sold?

a)

10 adults, 11 children

b)

12 adults , 9 children

c)

11 adults, 10 children

d)

9 adults, 12 children

20.

Section 2.1

Fill in the blank: Two matrices must be the _______ in order to be added or subtracted.

a)

exact same size

b)

# of columns in first matrix match the # of rows in second

c)

# of rows in first matrix match the # of columns in second

d)

square

21.

Section 2.2

Multiplying matrices only works if the ________ dimensions match.

a)

row

b)

column

c)

inside

d)

outside

22.

Section 2.4

Which of the options below shows the bottom row of a matrix with infinite solutions?

a)

[ 0 0 0]

b)

[ 0 0 1]

c)

[ 0 1 0]

d)

[ 0 1 1]

23.

Section 2.5

Fill in the blank:Only ____ matrices have determinants.

a)

2x2

b)

3x3

c)

2x3

d)

square

24.

Section 2.5

What is the determinant of a 2x2?

a)

ad - bc

b)

ab - cd

c)

ad + bc

d)

ab + cd

G11 matrices

Total questions: 24

Worksheet time: 2hrs 59mins

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