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Using Matrices

Using Matrices.

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Using Matrices

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  1. Using Matrices

  2. 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.

  3. 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.

  4. 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.

  5. 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.

  6. 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.

  7. 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.

  8. CW: Matrix Stations

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