I apologize if this is a very basic question.
I understand the difference between the two forms, but i was curious when row echelon from is enough. where is row echelon form used?. Why shouldn't I always go for reduced row echelon form?
linear algebra
I apologize if this is a very basic question.
I understand the difference between the two forms, but i was curious when row echelon from is enough. where is row echelon form used?. Why shouldn't I always go for reduced row echelon form?
Best Answer
In addition to lessening the workload involved in computing a determinant of a square matrix, e.g.,
Certainly, each form has its uses, and the fact that we can sometimes avoid extensive and tedious computations (which also leave room for introducing simple errors along the way), that's not to say that it is not important to know how and when to obtain reduced row echelon form: but we can "pick-and-choose" to some extent "how far" we need to row-reduce.