Question

What is a$2\times 3$ matrix?

Answer 1

Explaining $2\times 3$ matrix

A $2\times 3$ matrix is a matrix having$2$ rows and$3$ columns. We often say a two-by$3$ matrix or a matrix of dimensions$2\times 3$. A matrix is an array of numbers, symbols, or expressions arranged in rows and columns. A$\mathrm{m}\times \mathrm{n}$ matrix has$\mathrm{m}$ rows and$\mathrm{n}$ columns. Given below is an example of a$2\times 3$ matrix.

$\left[\begin{array}{ccc}2& 3& 1\\ 4& 2& 5\end{array}\right]$

The addition of matrices is an operation on matrices where corresponding elements of two or more matrices are added. Addition operation can be done on matrices only if they are of the same size, that is, they have the same dimension or order.

For example, if$\mathrm{A}$ is a$2\times 3$ matrix, and$\mathrm{B}$ is another matrix, we can add$\mathrm{A}$ and$\mathrm{B}$ is the number of rows and columns of$\mathrm{A}$ and$\mathrm{B}$ are the same. We can add a$2\times 3$ matrix with another$2\times 3$ matrix only. For matrix multiplication, the number of columns of the first matrix should be equal to the number of rows of the second matrix.