Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XII  >>  Math  >>  Matrices
0 votes

If a matrix has 18 elements,what are the possible orders it can have?What, if it has 5 elements?

Can you answer this question?

1 Answer

0 votes
  • $\Rightarrow $ If it has 18 elements.
  • If a matrix is of order $m\times n$.
  • Then the elements of the matrix is mn.(i.e product of the order)
  • $\Rightarrow $ find all possible orders of a matrix with 18 element.
  • $\Rightarrow $ Find all ordered pair of natural number whose product is 18.
  • $\Rightarrow $ possible ordered pair are $1\times 18,18\times 1,9\times 2,2\times 9,6\times 3,3\times 6.$
If it has 5 elements.
The orders are $(1\times 5),(5\times 1).$
Two types of matrix formed
(i)Row matrix:
A matrix is said to be a row matrix of order $1\times n.$
$\Rightarrow$ The order of matrix of element 5=$1\times 5.$
$\Rightarrow 1\times n=1\times 5.$
(ii)Column matrix:
A matrix is said to be a column matrix if it has only one column.
The order of matrix of element 5=$5\times 1.$


answered Feb 11, 2013 by sreemathi.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App