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Study Guides > College Algebra CoRequisite Course

Introduction to Matrices and Matrix Operations

Learning Outcomes

By the end of this section, you will be able to:
  • Determine the dimensions of a matrix.
  • Add and subtract two matrices.
  • Multiply a matrix by a scalar, sum scalar multiples of matrices.
  • Multiply two matrices together.
  • Use a calculator to perform operations on matrices.
Two teams playing soccer. Two teams competing in a soccer game. (credit: "SD Dirk," Flickr)
Two club soccer teams, the Wildcats and the Mud Cats, are hoping to obtain new equipment for an upcoming season. The table shows the needs of both teams.
Wildcats Mud Cats
Goals 6 10
Balls 30 24
Jerseys 14 20
A goal costs $300; a ball costs $10; and a jersey costs $30. How can we find the total cost for the equipment needed for each team? In this section, we discover a method in which the data in the soccer equipment table can be displayed and used for calculating other information. Then, we will be able to calculate the cost of the equipment.

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