Given n>1 , show that the set of all 1 times n matrices of positive integers in countable.

Dolly Robinson 2020-12-24 Answered
Given n>1 , show that the set of all 1×n matrices of positive integers in countable.
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Tuthornt
Answered 2020-12-25 Author has 107 answers
Step 1
Let Z be the set of all integers.
We know that Z is an countable set.
We have to show that set of all matrices of order 1×n of positive integers is countable.
Step 2
Here, Given a matrix of order 1×n
The number of element for the matrix of order 1×n is 1⋅n=n,
Which is all the integers
Since, set of all integer is countable
Therefore, set of all matrices of order 1×n of positive integers is countable.
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Jeffrey Jordon
Answered 2022-01-29 Author has 2064 answers

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