Hi. I have a question concerning mainly the idea of notation of dimensions. So we say that R2 is a 2 dimensional vector space. It can hold functions and vectors. The functions it holds are 1 dimensional like lines. And in R3 we can have two dimensional objects like planes. How about the vectors however. They are not functions, but do we say that in R2 we have 2 dimensional vectors and so on? So then how about for R1. Do we have 0 dimensional vectors? (points).So I am just asking about the notation for dimensions of vectors and functions in these vector spaces.
MIT 18.06 Linear Algebra, Spring 2010
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
A space an contain any object whose dimension is less than or equal to its own.
(R2 contains a plane, itself.) R1 can't contain any two dimensional objects, but can contain one dimensional objects(directed line segments) that can be thought of as vectors.