USING MATRICES
Matrix A represents the number of points scored in each quarter for the first 4 games of
football played by Frederick High School. Matrix B represents the number of points scored
in each quarter for the first 4 games of football played by Thomas Johnson High School.
Write a matrix that represents the combined points scored per quarter for the first four
games.
Game 1
Game 2
Game 3
Game 4
Q1
6
21
14
0
Matrix A
Q2
Q3
0
13
18
0
28
6
0
35
Q4
3
7
0
17
Game 1
Game 2
Game 3
Game 4
Q1
0
7
3
23
Matrix B
Q2
Q3
3
9
14
7
9
12
0
9
Q4
0
6
17
7
A toymaker makes handcrafted toys for children. His output last year is
represented by the matrix M below. Suppose that he wants to double
his output. Write a matrix that represents the needed output.
Matrix M
small
Medium
Large
Dolls
5
10
18
Stuffed Animals
12
22
9
A toymaker makes handcrafted toys for children. His output last year is
represented by the matrix M below. Suppose that he wants to increase
his output by 30%. Write a matrix that represents the needed output.
Matrix M
small
Medium
Large
Dolls
5
10
18
Stuffed Animals
12
22
9
A teacher is buying supplies for two art classes. For Art I, the teacher
buys 24 tubes of paint, 12 brushes, and 17 canvasses. For Art 2, the
teacher buys 20 tubes of paint, 14 brushes, and 15 canvasses. An art
teacher at another school bought 30 tubes of paint, 14 brushes, and 18
canvasses for her Art I class and 15 tubes of paint, 10 brushes, and 15
canvasses for her Art II class. Write a matrix for each school and then
find the matrix that represents the total number of supplies bought for
both schools.
A factory produces two models of washing machines, A and B, in three
available finishes: N, L and S. Model A is produced in 400 units in Finish N, 200
units in Finish L and 50 units in Finish S. Model B is produced in 300 units in
Finish N, 100 units in Finish L and 30 units in Finish S. Finish N takes 25 hours
of workshop time to complete and 1 hour of administration. Finish L takes 30
hours of workshop time and 1.2 hours of administration. Finally, Finish S takes
33 hours of workshop time and 1.3 hours of administration. Find a matrix that
expresses the hours of workshop and administration time needed for each of
the models.
A furniture company manufactures three different models of shelves: A, B and C.
Each of these models is offered in both large and small sizes. Everyday, the
factory produces 1,000 large and 8,000 small shelves in Type A, 8,000 large and
6,000 small shelves in Type B and 4,000 large and 6,000 small shelves in Type
C. Regardless of the type, each large shelf has 16 screws and 6 supporting
brackets while each small shelf has 12 screws and 4 supporting brackets. Find a
matrix that represents the quantity of screws and supports brackets necessary for
daily production of each of the six model-sized shelves.
CW: Matrix Stations