Download Systems and Matrices

Name: _______________________________________________________________ Date: _______________________
Row Game – Systems and Matrices
To do the Row Game you need a partner. One of you is Player A and the other is Player B. Player A will solve
the problems in column A and Player B will solve the problems in column B. The answers will be the same. If
your answers are not the same, you must work together to figure out why they are not the same. Attach and label
ALL WORK.
A
B
Player A Name: _________________________________
Player B Name: _________________________________
1.
Solve the system using substitution
3x + 5y = 50
y – 2x = -3
2.
Solve the system using elimination
-2x + 6y = 32
-5x + 3y = -4
3.
Solve the system using elimination
4x – 5y = -7
-2x + 7y = -1
4.
Solve the system using substitution
-4y + x = 1
7x – 2y = -19
5.
Solve the system using elimination
3x + 2y + 4z = -5
x – 3y – 6z = -9
-x + 7y + 8z = 32
6.
Solve the system using elimination
5x + y – 2z = -3
-3x + 4y + 4z = 27
-2x – y – 6z = 14
7.
Add the matrices
8.
Add the matrices
[
−2
−1
9.
4
5
][
1
9
−4
−20
]
[
3 7
5 −6
=
Multiply the matrices
[
][
4 −5 2
3
3 −4 −3 −5
]
37
33
28
25
[
29 − 37
− 18 23
=
[
][
−2 7
0 .5 − 7
−7
−9
]
−4
5
− 22
− 13
]
12. Multiply the matrices
[
]
13. Multiply the matrices
2
−6
−4
3
10. Find the inverse of the matrix
11. Find the inverse of the matrix
[
][
][
7 6 −7
−5 7 − 8
]
=
14. Multiply the matrices
]
=
[
9
−5
][
18
−2
− 4 8 .5 1
4
−3
]
=
Name: _______________________________________________________________ Date: _______________________
15. Find the determinant of the matrix
[
8
−6
3
2
]
16. Find the determinant of the matrix
[
−4
2
7
−5
]