Is the following matrix in its reduced row echelon form? Explain your judgement.

Solutions

Expert Solution

The criteria to be met for reduced row echelon form are as follows:

1. The first non=zero number in 1st row is 1. Is met here.

2. Second row has to start with 1 too, but has to be to the right of non-zero entry in 1st row. Here 1 is in 2nd column to the right of 1st column. Condition met here.

3. The leading entry in each row must be the only non-zero number in the column. This condition is not being met here. For example in 2nd row, over and above 1 in 2nd column we have 3 also. Same is the case for 3rd row leading entry of 1. We have 7,7 too in that column above 1. Condition is violated here too.

Hence the matrix is NOT in reduced row echelon form.

Hope this is fine. Will appreciate feedback.

milcah answered 1 year ago

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