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Question

Which of the following conditions must a matrix satisfy for it to be in a row echelon form.


A

First non zero element of each row should be greater than 1

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B

First non zero element of each row should be 1.

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C

All zero rows should be on the top.

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D

All non zero rows should be above all zero rows.

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Solution

The correct option is D

All non zero rows should be above all zero rows.


The conditions for a matrix to be in row echelon form are

  1. All non zero rows should be above all zero rows.
  2. 1st non zero element of each row should be 1
  3. Number of zeros before the 1stnon zero element in 1st, 2nd, 3rd…. rows should be increasing.

Therefore only 2, 4 are correct options.


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