Still Confused?

Try reviewing these fundamentals first.

Algebra

Notation of matrices- Home
- Secondary 4 Maths
- Introduction to Matrices

Still Confused?

Try reviewing these fundamentals first.

Algebra

Notation of matricesStill Confused?

Try reviewing these fundamentals first.

Algebra

Notation of matricesNope, I got it.

That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Intro Lesson3:21
- Lesson: 1a2:37
- Lesson: 1b1:26
- Lesson: 1c8:33
- Lesson: 1d1:16
- Lesson: 1e5:39
- Lesson: 2a3:52
- Lesson: 2b2:20
- Lesson: 2c2:29
- Lesson: 2d3:09
- Lesson: 2e3:23

In this lesson, we will learn how to turn a linear system into a matrix. What we do is draw a big bracket, take all the coefficients of each term and write it in, draw a vertical line, write all the numbers after the equal sign, and end it with another big bracket. Terms that do not seem to have a coefficient actually do. For example the term y can be rewritten to 1*y, and so the coefficient of this will be 1. Notice that when you turn it into a matrix, all the variables disappear since the most important part are the numbers.

Basic concepts: Notation of matrices,

We can represent a linear system as a matrix. For example, the linear system

$1x+2y+3z=4$
$5x+6y+7z=8$
$9x+10y+11z=12$

can be represented as the matrix:

where $x,y,z$ are variables and the vertical line represents the equal sign for each linear equation. We see all the $x,y,z$'s disappear, and we take all the coefficients and the numbers after the equal sign.

can be represented as the matrix:

where $x,y,z$ are variables and the vertical line represents the equal sign for each linear equation. We see all the $x,y,z$'s disappear, and we take all the coefficients and the numbers after the equal sign.

- IntroductionRepresenting a linear system as a matrix Overview:

- 1.
**Representing a linear system as a matrix**

Represent each linear system as a matrix:a)$x+6y-3z=3$

$4x+2y-z=10$

$6x+10y+20z=0$b)$-3x+7y=10$

$10x+2y=15$c)$v+w+x+y+z=0$

$x+y+z=5$

$x+y=3$

$2v+4w=2$

$y=3$d)$9x=3$e)$2w+6y+2z=3$

$3x+6y=2$

$x+y+z=10$

$w+2x+10y+z=7$ - 2.
**Representing a matrix as a linear system**

Represent each matrix as a linear system:a)b)c)d)e)

We have over 1340 practice questions in Secondary 4 Maths for you to master.

Get Started Now