What are matrices?
- A matrix is a set of real or complex numbers (or elements) arranged in rows and columns to form a rectangular array.
- A matrix is indicated by writing the array within brackets and it is simply an array of numbers: there is no arithmetical connection between the elements
Order of a matrix
- A matrix having ‘m’ rows and ‘n’ columns is called an m x n (i.e. ‘m by n’) matrix and is referred to as having order m x n.
Given below is a 3 x 3 matrix, i.e. a ‘3 by 3’ matrix, where 2, 8, 6, 0, 5, 4 ,3, 7, 3 are the elements of the matrix.
\[\Large
\begin{bmatrix}
2 & 8 & 6 \\
0 & 5 & 4 \\
3 & 7 & 3
\end{bmatrix}
\]
Note that, in describing the matrix, the number of rows is stated first and the number of columns second.
Given below is a matrix of order 4 x 3 (4 rows and 3 columns)
\[\Large
\begin{bmatrix}
5 & 6 & 4 \\
2 & -3 & 2 \\
7 & 8 & 7 \\
6 & 7 & 5
\end{bmatrix}
\]
Select the false statement from the following.