Determine which matrices are in reduced echelon form and which others are only in echelon form. a)begin{bmatrix}1&0&1&0 0&1&1&00&0&0&1 end{bmatrix} b)begin{bmatrix}0&1&1&1&1 0&0&1&1&10&0&0&0&10&0&0&0&0 end{bmatrix} c)begin{bmatrix}1&5&0&0 0&0&1&00&0&0&00&0&0&1 end{bmatrix}

ediculeN 2021-01-13 Answered
Determine which matrices are in reduced echelon form and which others are only in echelon form.
a)[101001100001]
b)[01111001110000100000]
c)[1500001000000001] ф
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hosentak
Answered 2021-01-14 Author has 100 answers
Step 1
To Determine which matrices are in reduced echelon form and which others are only in echelon form.
Step 2
Given that
a)[101001100001]
According to the definition we conclude that matrix is in reduced row echeclon form because the leading entry in each nonzero row is 1 and each leading 1 is the only nonzero entry in its column.
 Reduced row echelon form
Given that
b)[01111001110000100000]
According to the definition the matrix is in echelon form only.
Echelon form only.
c)Given that
[1500001000000001]
According to the definition we conclude that matrix is not in echelon form and that matrix not in reduced row echelon form.
Answer: Neither
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Jeffrey Jordon
Answered 2022-01-27 Author has 2070 answers

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