Question

A matrix of order n×1 is called as a..... matrix fill in the blanks

​

Answer 1

ANSWER :

$\mapsto \sf \: A \: matrix \: of \: order \: n×1 \: is \\ \: \: \: \: \: \: \: \: \: \sf \: called \: as \: a \: \fcolorbox{skyblue}{skyblue}{ROW VECTOR}$

$\bull \: \: \: \: \: \rm \underline \bold{ {Learn \: \: more : }}$

$\sf \: 1) \: \: \: those \: matrix \:  with \:  a single \:  column \:  are \:  called \: \bold{ column  \: vectors \: }$

$\sf \: 2) \: \: A \: matrix \: with \:  the \: same \: number \: of \:  rows  \: and \: columns \: is  \: called \:   \bold{square matri}$

$\sf \: 3) \: \: \: A \: matrix \: with  \: an \: infinite \: number \: of \:  rows  \: or \: columns \: (or \: both) \: is \:  called \:  an \: \bold{infinite matrix.}$

____________________________________________________________

HOPE THIS IS HELPFUL...

Answer 2

A matrix of order n×1 is called as a Column vector.

Step-by-step explanation:  

• Column vector is an array or matrix with one column.

• The column vector is an $n$ × $1$ matrix consisting of a single column with the number of elements.

• Column vectors are a type of matrix or array with only one column. These are also called column matrices.

• There may be a number of rows. But the number of columns should be always $1.$

For example,

$B=\left[\begin{array}{ccc}b_{1}\\b_{2}\\..\\b_{n} \end{array}\right]$                                  

• This example shows a column vector. Here this matrix $B$ has $n$ number of rows and one single column. The first element of the matrix is $b_{1}$, the second element is $b_{2}$, and so is until the last element $b_{n} .$

Let us see some similar examples like this:  

$\left[\begin{array}{ccc}15\end{array}\right]$

• It is the simplest column vector with one column and one row.

$\left[\begin{array}{ccc}1\\4\\\end{array}\right]$  

• It is the $2$ × $1$. There are two rows and one single column.

Of course, we can create a number of rows as we want but the number of columns needs to be one. This is called a column vector.