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Hi;
The last statement
the case with one solution is related to a case when a vector combination have an R2 span and is "independent"?
I do not know.
can you explain me the connection between this article and the subject of linear span's? i realy needs it cause i am going to learn linear algebra in a university next week and i don't want to get stuck with this.
anyway thank you for the help you already gave me, i understand it a bit more now but i am still confused.
First things first, did you understand everything about this http://hotmath.com/hotmath_help/topics/ … stems.html ?
i think so, i know that a system of equation have infinite solutions when one of the equation is just a multiplication of the other and have no solution when they are the same lines(same slope)
but in different positions and parallel to each other, and that as long they are different lines they going to have one solution and i think it happens as long as the x in one equation have a different coefficient from the x in the other equation.
the case with one solution is related to a case when a vector combination have an R2 span and is "independent"?
Let us do the independent - dependent part first.
If you have two equations like these
x + y = 3 and 2x + 2y = 6 we can see that the second equation is just a multiple of the first equation. They are dependent. There are three types of situations that can come up.Take a look here for an explanation.
its reminds me that i saw in the video's something about vector cA(with c being a scalar) having the span of a line(or something like that).
so basicaly the span of the set of vectors is determined by if the vectors can be made by a multiplication of one vector?. if so how it is related to the three types of situations in the article?.
sorry if i am getting confused or missing something obvious.
thnx for helping, can you give me some example about the relation of this to the subject and explain me shortly about the subject? i am quite lost here
i began learning linear algebra on this site and on khan academy site and made some quizzes about vectors but when i reached the part about "Linear combinations and spans" and "Linear dependence and independence" i had a serious problem to understand it. the only thing i think i got(or hope i got it right) is that a span is all the possible vectors for a combination of two or more vectors.
and by combination its means adding them together plus any kind of multiplication on them. i am right her?. and what about "dependence/independence" stuff?.
there is an article on this site about it? i realy hope to find some easy article about it that is dedicated to people who are new to linear algebra.
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