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If a matrix has 12 elements, what are the possible order it can have?
This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com
cbse
class12
modelpaper
2012
sec-a
q2
q2-1
ch3
easy
math
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asked
Feb 2, 2013
by
thanvigandhi_1
retagged
Apr 15, 2013
by
sharmaaparna1
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1 Answer
Toolbox:
We know that if a matrix is of order $m\times n$ it has mn elements.Thus to find all possible orders of a matrix with 12 elements.
We will find all ordered pairs of natural numbers whose product is 12.
Given:
No of elements: 12
All ordered pairs are :$1\times 12,12\times 1,2\times 6,6\times 2,3\times 4,4\times 3$
Possible orders are :$1\times 12,12\times 1,2\times 6,6\times 2,3\times 4,4\times 3$
answered
Apr 15, 2013
by
sharmaaparna1
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