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 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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Revision and Adaptation. Provided by: Lumen Learning License: CC BY: Attribution.

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College Algebra. Provided by: OpenStax Authored by: Abramson, Jay et al.. License: CC BY: Attribution. License terms: Download for free at http://cnx.org/contents/[email protected].

CC licensed content, Specific attribution

Precalculus. Provided by: OpenStax Authored by: OpenStax College. Located at: https://cnx.org/contents/[email protected]:1/Preface. License: CC BY: Attribution.

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