# Matrices Review Worksheets

How are matrices used to represent data? Matrices is an outstanding concept to represent data if your data is related to each other in an adjacent manner. For instance, let us consider the marks of different subjects that you study in your class. Almost every student study the same subjects; however, each student may get different marks in each of those subjects. A matrix would allow us to keep track of all of this and make it easier to perform calculations that without the matrix would be cluttered. You can think of a matrix like a graphic organizers for large amounts of data. These worksheets and lessons introduce students to using matrices as a method of representing data. We explain the why and how.

### Aligned Standard: HSN-VM.C.6

- Ice Cream Matrix Step-by-step Lesson- Take a simple chart and make it into a functional matrix.
- Guided Lesson - Matrices on washing machine, student grades, and the population of international plate spinners.
- Guided Lesson Explanation - Students usually get the hang of this skill very quickly. One of the fastest high school skills to pick up.
- Practice Worksheet - A whole bunch of matrices for you to create.
- Matching Worksheet - Match the matrices to the data tables that they represent.

- Answer Keys - These are for all the unlocked materials above.

### Homework Sheets

We finally start to see the application of matrices in everyday work.

- Homework 1 - Create a matrix to represent how Grade 1 and 2 students like Math, English and Spanish.
- Homework 2 - The table shows data from two areas of the city. We recorded the number of people who are and are not Vegetarians. Write a matrix to represent this data.
- Homework 3 - The table shows data from two different cities. We recorded the number of people that do and do not have a job.

### Practice Worksheets

First comes data charts, then matrices, then writing your own algorithm. End that off with a job at Google or Apple.

- Practice 1 - A laptop company collects data on the sale of laptops in two areas from the years 2003 to 2006. The data can be found below. Express this data as a matrix.
- Practice 2 - The following table shows grades received by second year and third year students in Accounting and Economics classes. Express this data as a matrix.
- Practice 3 - The table below shows the number of people who were trained plate spinners in the Europe and Paris between 1992 and 1995.

### Math Skill Quizzes

This are simple scenarios so that students don't get lost in the details.

- Quiz 1 - A matrix is a method for organizing data. It is very similar to a data chart in that the data are organized into rows and columns. Each piece of data are called an entry.
- Quiz 2 - The table shows the number LLB students who passed the big test. We look at both 1st and 2nd year students. Write this data as a matrix.
- Quiz 3 - The given table shows the data from the number people who like South Indian and Italian restaurants. The poll was taken from 2 parts of the city.

### How are Matrices Used in Everyday Life?

Anytime you find yourself in a situation where you may a good amount of data and/or statistics matrices will be a useful tool for you. matrices are essential to almost all forms of quantifiable research. They allow us to organize all these values into rows and columns much like a spreadsheet. This allows us the proper opportunity to evaluate and make sense of all the data. There are so many different applications of them. Letâ€™s take a minute to explore just a few that you are probably familiar with:

**Finance** - Business owners and their employee are constantly evaluating all of the metrics that may surround their business. This helps them determine the health of the company and find possible opportunities to improve things.

**Encryption** - The Internet is just a humongous network of computers. Making sure that you data is safe while it is being transported across that network is the fundamental goal of encryption. Matrices are used to help scramble the data which is then decoded only by the target computer you are working with.

**Scientific Research** - This is an obvious one, but an important one. They are especially important with many applications of physics such as quantum mechanics and the use of electric energy. Matrices are often used for maintaining and analyzing weather data to help make more accurate weather predictions.

**Robotics** - Instructions on how robots are programmed to move and make precise movements each time are coupled within layered matrices. Some of these instructions are just to turn a direction when they come in contact with a certain types of materials. Others can be highly complex.