Describing Matrices (Rows and Columns)
In this lesson, we will learn

what is a matrix?
rows and columns of a matrix
dimensions (or order) of a matrix
elements of a matrix
Related Topics: Operations on Matrices
A matrix consists of a set of numbers arranged in rows and columns enclosed in brackets.

The

dimensions or order of a matrix gives the number of rows followed by the number of columns in a matrix. The order of a matrix with 3 rows and 2 columns is 3 × 2 or 3 by 2.

We usually denote a matrix by a capital letter.

C is a matrix of order 2 × 4 (read as ‘2 by 4’)

Each number in the array is called an entry or an element of the matrix. When we need to read out the elements of an array, we read it out row by row.

Each element is defined by its position in the matrix.

In a matrix A, an element in row i and column j is represented by a_{ij}

Example:

a _{11} (read as ‘a one one ’)= 2 (first row, first column)

a _{12} (read as ‘a one two') = 4 (first row, second column)

a _{13} = 5, a _{21} = 7, a _{22} = 8, a _{23} = 9

Video
Properties of Matrices

The basics of a matrix. Looking at rows, columns, elements and dimension.

VIDEO
This video explains how to determine the dimension of a matrix and why it is important to be able to identify the dimensions of a matrix.

VIDEO

The following video examines how to state the dimensions of a matrix.

VIDEO
Introduction to matrices

What a matrix is. How to add and subtract them.

VIDEO

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