Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements.
A matrix is a rectangular arrangement of numbers into rows and columns.
For example, matrix
has two rows and three columns.
The dimensions of a matrix tells its size: the number of rows and columns of the matrix, in that order.
has and , we write its dimensions as , pronounced "two by three".
In contrast, matrix
has and , so it
is a matrix.
When working with matrix dimensions, remember
Check your understanding
1) What are the dimensions of matrix
2) What are the dimensions of matrix
3) What are the dimensions of matrix
A matrix element is simply a matrix entry. Each element in a matrix is identified by naming the row and column in which it appears.
For example, consider matrix
is the entry in the and the .
In this case
In general, the element in
and of matrix is denoted as .
Check your understanding
is a matrix with .
Which could be matrix
Want to join the conversation?
- On problem six why doesn't answer B not satisfy the equation? But answer C does? The six is in the same spot as in both answers.(0 votes)
- Because, first part of the question (Matrix 2 x 3) is not the condition second option satisfies.(102 votes)
- Hi my name is Sayan, I still haven't understood the relevance of matrices. My request to you would be if you could give a real life scenario where matrices are used and/or another place where it has a practical use in everyday life. Also do explain this with an example for my better understanding?(29 votes)
- Matrix manipulation are used in video game creation, computer graphics techniques, and to analyze statistics. There are many more uses for matrices, but they tend to show up in more deeper understandings of disciplines.(36 votes)
- on problem 6, why is the answer c and not b ? it is the same answer just in different positions.(6 votes)
- No, since it is row by columns, answer b would be a 3 x 2 matrix not a 2 x 3 matrix, hope this helps(28 votes)
- why is there two answers to question number 6?
the following are the answers:
1. (the one this page call correct) answer #3
2. (the one that is also correct but this page call wrong) answer #2(0 votes)
- #2 is wrong because it is a 3x2 matrix. We always count rows first, then columns. How tall is the matrix (2) then how wide is it (3)? That leaves #3 and #4 as options. Row 1 column 2 = 6. That means #3 is the right choice.(35 votes)
- Can there be a matrix with 0x0. If yes, then how is it represented(6 votes)
- It could be just an empty matrix, like this: 
However, such a matrix could not contain any information and would therefore be useless.(10 votes)
- What are matrices used for in math?(5 votes)
- A lot of things can be thought of as transformations of space, taking every point in 3D space and moving it somewhere else. Matrices are a compact way of talking about and working with a certain class of transformations.(8 votes)
- This Is More Easier Than Vectors Why isn't This Taught Before Teaching Vectors(3 votes)
- You you have to learn about vectors first because you will be using matrices to apply transformations to vectors. This will also be linked to solving systems of equations and a whole bunch of other fun stuff :)(9 votes)
- Is  the same as an empty one ?(3 votes)
- Probably no, because  is empty, but  isn't. They're called zero matrices and they're used in matrices the same way regular zeroes are.(7 votes)
- The i and j in matrices is inverse from the notation in Cartesian axes. Why is it defined so confusing?(5 votes)
- There's no real answer to your question. The notaion for coordinates of a Cartesian Plane and the location of an entry in a matrix is simply a matter of convention.(1 vote)
- what is the purpose of such arrangement of numbers in a matrix?(3 votes)
- It essentially enables you to store data in such a way that you can easily perform operations on the entire data set.(5 votes)