Still Confused?

Try reviewing these fundamentals first.

- Home
- ACT Compass Test Prep
- Introduction to Matrices

Still Confused?

Try reviewing these fundamentals first.

Nope, 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- Lesson: 16:27
- Lesson: 2a2:06
- Lesson: 2b1:50
- Lesson: 2c2:05
- Lesson: 2d1:29
- Lesson: 2e1:38
- Lesson: 2f1:31
- Lesson: 2g1:24
- Lesson: 3a1:13
- Lesson: 3b1:09
- Lesson: 3c1:01
- Lesson: 3d1:16
- Lesson: 3e2:46
- Lesson: 3f1:36
- Lesson: 3g1:29
- Lesson: 3h1:30
- Lesson: 3i1:26
- Lesson: 3j2:06

In this section, we will be learning about the dimensions of a matrix, as well as finding the matrix element within a matrix. Dimensions of a matrix are determined by the number of rows and columns in the matrix. We generally write the dimensions to be (# of rows) x (# of columns). A matrix element is an entry in the matrix. If you see the subscript of the letter, then that subscript will tell you which entry we are talking about in the matrix. For example, if the subscript is (4,6), then we are looking for the entry in the 4th row and 6th column.

Note

A**matrix** is a list of numbers put in a rectangular bracket.

The**dimensions** of a matrix are the number of rows and columns of the matrix. For example, if the matrix has *m* rows and *n* columns, then we say that the dimensions matrix is *m* by *n*.

Each entry in the matrix is called a**matrix element**. Let the matrix be called *A*. Then we say that the
matrix element $a_{4,6}$ is the entry in the 4th row and 6th column.

A

The

Each entry in the matrix is called a

- 1.Notation of Matrices Overview:a)What is a matrix and the dimension of a matrix?b)Matrix elements
- 2.
**The Dimensions of a Matrix**

Determine the dimensions of the following matrices:

a)b)c)d)e)f)g) - 3.
**Matrix Elements**

Find the matrix element (or value) of the following matrix

a)$a_{1,1}$b)$a_{2,3}$c)$a_{4,6}$d)$a_{4,9}$e)$\frac{a_{2,5}}{a_{4,9}}$f)$2(a_{3,7})$g)$(a_{2,4})^2$h)$2(a_{4,2})+5$i)$\frac{a_{1,9}}{3}$j)$a_{3,5}+a_{1,1}$

We have over 2160 practice questions in ACT Compass Test Prep for you to master.

Get Started Now