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# Row|Definition & Meaning

## Definition

In mathematics, a **row** is a general term describing things that lie **horizontally adjacent **(left-right) to each other. This is contrary to columns, which describe things lying **vertically adjacent **(up-down) to each other.

A **row **refers to the way that items can be **arranged**. Although **rows **and **columns **are frequently combined to make **arrays**, this is not required; rows and columns can exist independently. Most often, **rows **and **columns **are perceived as **horizontal **and **vertical**, respectively.

However, this is mostly just a **standard **practice because, depending on your **point of view**, you may **rotate **something so that the **framework **that was previously in the form of a **row **would now be a **column **according to how you interpret **horizontal **or **vertical**.

## Common Examples of Row in Real Life

The seats are frequently arranged in **rows **in places like stadiums, cinema halls, sports facilities, or anywhere else where **structured **seating can be useful. It is typical to have **rows **with labels that include both numbers and letters. For instance, the **seat** number “**B3**” on your ticket can relate to row **B**, seat **3**.

**Rows **of plants, trees, or crops are frequently seen in daily routine life. **Rows **of crops on a farm may be visible, as well as **rows **of trees placed alongside the road. You might even have rows of plants within your own backyard.

In the **database**, the **columns **hold information on the people you are addressing in the **rows**, whereas the **rows **themselves contain **data **such as name, gender, and other attributes.

The fact that **rows **can serve as a pretty practical approach to **arranging** objects in a straightforward, ordered fashion is one factor that explains its convenience.

## Difference Between Rows and Columns

Following are some factors that help in differentiating rows and columns.

- A
**row**is a group of items arranged**horizontally**or beside one another. A**vertical**grouping of items based on type is known as a**column**.

- In the case of
**rows**, the configuration is from**left**to**right**. In the case of**columns**, the configuration is**top to bottom**. - In
**rows**, the total of an arrangement is displayed very**right**. But in b, the very**bottom**displays the total. - The
**row**is described by a**stub**, which is the very**leftmost**element of the table. The**column**is described with a caption that appears in the table’s top**row**. **Rows**are the term for the**horizontal**arrays in a matrix, whereas the**vertical**arrays in a matrix are called**columns**.**Numbers**are typically used to identify**row**heads.**Alphabets**are used to identify**column**heads.

## Row Matrix

A **row matrix **in mathematics is a kind of matrix that only has **one row**. However, a row matrix may have more than **one column**. So, if the **matrix **has a **dimension **of **(1 x n) **or greater, it is called a row matrix.

The elements are set up so that each **row **within the **matrix **is represented by one arrangement of elements.

We cannot determine the **determinant **of a **row matrix **simply owing to the fact that it is not a **square matrix**. We can only calculate the **determinant **if the order of the row matrix is **(1 x 1)**, which means that both the number of **rows **and **columns **equate to b.

## Properties of a Row Matrix

The properties of a row matrix are as follows:

- One
**row**makes up a row**matrix**. - There are many
**columns**in a row**matrix**. - In a
**row**matrix, the number of**columns**matches the number of**entries**in the**matrix**. - A horizontally aligned,
**rectangular**array of items is called a**row matrix**. - A
**column**matrix is created by**transposing**a row matrix. - A
**row matrix**can only be**added**to or subtracted from using another row matrix of the same**order**. - Only when there is the existence of a
**column matrix**is it possible to multiply a**row**matrix. - A
**singleton**matrix is produced when a**row matrix**and a**column**matrix are**multiplied**.

## Rows in MS Excel

A **row **is a **collection **of cells arranged in a **horizontal**, straight **line** in Microsoft Excel. Both the concepts of rows and **columns **form the **basic structural **definition of MS Excel.

**Microsoft Excel **is used for a variety of purposes, from calculating complicated **mathematical **formulations to making **forecasts**, spending and **tracking** budgets, and **simplifying **and organizing **data analysis**.

## Examples – Illustrating the Concept of Rows

### Example 1

The following shows an **array **of 0s. Assess it and find out the number of **rows**, **columns,** and the total **number** of **0s**.

000000000000

000000000000

000000000000

000000000000

### Solution

The number of **rows **in the above array is **4**.

In a similar fashion, we can assess just by looking at the array that there are **12 columns **present in the array.

To find out the total **number **of **zeros **in the above array, we will use the following **formula**:

No. of 0s = m x n

Where:

m = no. of rows

n = no. of columns

Therefore:

No. of 0s = 4 x 12 = 48

Hence, there are **48 zeros **that constitute the above array.

### Example 2

The following are** two-****row** matrices, **A** and **B**.

A = [2 4 6 8 10]

B = [3 5 7 9 13]

Add both **matrices**. Also, mention the order of matrix **A**, matrix **B**, and the result of their sum.

### Solution

To add two **matrices**, we just **sum** the corresponding entries.

As:

A = [2 4 6 8 10]

B = [3 5 7 9 13]

Their sum would be Z:

Z = A + B

= [2 4 6 8 10] + [3 5 7 9 13]

**Z = [5 9 13 17 23]**

The result of the **addition** of row matrices is always another **row matrix**.

The** order **of a **matrix **is described by **(m x n)****,** where **m** is the number of **rows** while **n** is the number of **columns**.

Since:

A = [2 4 6 8 10]

**Order of A = 1 x 5**

Similarly, for B and their sum Z:

B = [3 5 7 9 13]

**Order of B = 1 x 5**

Z = [5 9 13 17 23]

**Order of Z = 1 x 5**

*All images/mathematical drawings were created using GeoGebra.*