Matrices Review Game!I will stop looking back with regrets or looking forward

with fear and give the best I have today." ~Anonymous

1. What are the dimensions of C and B?2. Give the entry in c22 and a23

3. A + B4. -2C

5. 2A - B6. (1/2)C

2x33x3

45

5 1 1

1 9 10

1 3 6

16 0 2

12 8 6

1 8 5

2 3 5

1 0 15

14 0

23

3 22

Find x and y.

1.

2.

x = 7y = 3x = -8y = 4

2. BC1. BA 3. CD

4. AC 10

4 2

8 5

16 4

16 4

Can’t bedone

Give the identity matrix for a 2x2.

1 0

0 1

I

Give the identity matrix for a 4x4.1 0 0 0

0 1 0 0

0 0 1 0

0 0 0 1

I

1. det(A)=

2. A-1=

3. det(C)=

4. C-1=

-1

1 3

2 5

-40

1 4 12 5 10 0.5 0.8 0.1

1 1 1 0.25 0.25 0.254 4 40.25 0.65 0.05131 1

4 20 20

Evaluate.4 2

6 3 0

2. Solve the system

1. Write the matrix equation

1 1 8

2 1 1

x

y

(-7, 15)

2. Solve the system

1. Write the matrix equation

1 1 1 14

4 1 5 22

2 2 3 35

x

y

z

(4, 3, -7)

2. Solve the system

1. Write the matrix equation

3x + 5y = –310y – 2z = 2 x = –z

3 5 0 3

0 10 2 2

1 0 1 0

x

y

z

(-2, 0.6, 2)

32, , 25

Susan babysat for 8 hours and worked at Taco Bell for 3 hours. She made $58. When she babysat for 2 hours and worked at Taco Bell for 5 hours, she made $40. How much does Susan make per hour baby-sitting and working at Taco Bell?

1. Write a system of equations to model the situation.

2. Solve the system using matrix equations.

8x + 3y = 582x + 5y = 40

$5 Babysitting$6 Taco Bell

A nurse is mixing a 3% saline solution and an 8% saline solution to get 2 liters of a 5% saline solution. How many liters of each solution must be combined?

1. Write a system of equations to model the situation.

2. Solve the system using matrix equations.

0.03x + 0.08y = 0.1 x + y = 2

1.2 L of 3% solution0.8 L of 8% solution

When working with matrices, don’t forget…

And a…

Row x Column