I have th following matrix and I am suppose to determine whether the matrix is in row-echelon form(R-E), reduced row-echelon(R-RE) form, both, or neither..(adsbygoogle = window.adsbygoogle || []).push({});

I know the following about R-R-E

* If there is a row of all 0's there at the bottom of the matrix

* The upper left most number has to be a 1

* the following number below it has to be to the right of the leading 1 has to be a 1..

* in R-RE any number above the 1 and below have to be 0..

- For R-E they have to be only below the 1 not above it..

all right,

So here is the matrix:

1 2 0 3 0

0 0 1 1 0

0 0 0 0 1

0 0 0 0 0

The book shows the answer as being both a R-R-E and R-E.

I disagree because the 1 below the 3, if it were in R-R-E, that 3 would have to be a 0. Therefore, I believe it is in R-E form. Am I correct in my reasoning?

thanks in advance..

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# Homework Help: A matrix question(simple one i suppose)

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