matrices review game! i will stop looking back with regrets or looking forward with fear and give...
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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