Question

ref or rref? im confused

A =6 0 0 0
0 5 1 0
0 0 0 2

Which of the following statements is/are true?
A. A is in row–echelon form.
B. A is in reduced row–echelon form.

Answer 1

please explain the difference between the two if you can

Answer 2

rref
like you can see each leading coeficient in the raw is the only non 0 coeficient of that column

Answer 3

@Kudos

Answer 4

A matrix (any matrix, not just an augmented matrix) is said to be in reduced row-echelon form if it satisfies all four of the following conditions.
If there are any rows of all zeros then they are at the bottom of the matrix.
If a row does not consist of all zeros then its first non-zero entry (i.e. the left most non-zero entry) is a 1 - This 1 is called a leading 1.
In any two successive rows, neither of which consists of all zeroes, the leading 1 of the lower row is to the right of the leading 1 of the higher row.
If a column contains a leading 1 then all the other entries of that column are zero.

from " http://tutorial.math.lamar.edu/Classes/LinAlg/SolvingSystemsOfEqns.aspx ".

Answer 5

got it?

Answer 6

@mtaOS is right, I forgot that the leading coeficient should be 1 in rref

Answer 7

Okay, so if it isnt a 1 ie. 3 then it is not an rref matrix

Answer 8

right

Answer 9

Can a matrix be in both forms?

Answer 10

no

Answer 11

ah that makes sense, thanx guys

Answer 12

yw

Answer 13

all row reduced echelon form, are in row echelon form

not all row echelon forms are row reduced echelon forms