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hiii

Hello

i guess you know how to calculate the rank

I don't know what you mean by "rank"

calculate the rank of the coefficient matrix by converting it into row echelon form

You know row echelon form??

the solution to the set is the origin ...

apex ... thats what i get for trying to be lyrical

Sorry I lost internet connection @jango_IN_DTOWN. I will show you what I did....

This is right..

I have no idea what "rank" is.

That is not a topic we have covered yet

I understand minors and cofactors :) That was what we discussed in our last class meeting.

Ok so maybe I am jumping ahead?

@amistre64 what do you mean by spans?

You could take a peek at the later chapters in your book

if Ax=0 only has the trivial solution .. then A forms a basis, i beleive

yes, and if you have a dependent system, then expect there to be non-trivial solutions to Ax=0

But I am sure you will see soon in your course.

yes
there are other implications: determinant of the dep. sys is 0
inverse of A does not exist

no

solution to 3 planes are either a point, a line, a plane, or nothing

you can use row reduction to help decide that. Otherwise, only God knows

3 parallel planes have no common points
3 coincident planes are common at every point
etc

Thank you all :)

No what I was asking about was in reference to an entire system.