Page 75 - Math Smart - 7

6. f=5
7. 3a - 11 = 28

8. 2-7 = 2
9. 3a + 5 = 80
10. ^+5 = 16 10

11. 5a - 20 = 60
11

13
n

Mathematics Connect

Linear algebra is the branch of mathematics that • If you want to find out what a particular gene
deals with linear equations like the ones we have actually does, you have to see how it Influences
dealt with in this unit. all the chemical processes in our body. The way
these processes work, and how they influence
Economics
each other, can be expressed by large systems
Economists use linear equations to plot the supply of linear equations.
and demand of a particular product in order to
• A biologist uses linear equations to get an idea
make decisions about prices and distribution of
of how a population of animals might change
goods. They can also use the results to predict the
overtime.
economy or the future profits of a company.
• An engineer will use linear equations to work
Computers out the exact proportions of a building like a
Computer graphics programmers used linear bridge or a high-rise building, and how much
algebra in the creation of Google. and what kind of materials to use.
Linear algebra is widely used in coding theory. It As you can see, equations are a fact of life for many
is used to encode data in such a way that if the people and to be able to work with them, you need to
encoded data is tampered with a little bit, the
start with the simplest ones — the linear equations.
original data can be recovered.
Most processes involved in computer graphics
such as rotation, scaling and perspective are
implemented using linear algebra.

Other areas where linear equations are used
Linear equations are the simplest equations there
are. Equations are used in many other areas to
model the world around us.
• All of quantum computing is literally just linear
algebra, as is general quantum mechanics.