A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
Is this right?
The dimension of the space spanned by a matrix is the number of columns of the matrix.
The dimension of a matrix is the number of rows of a matrix. The matrix exists in R^m, where m is the number of rows.
Can someone give a clear definition of basis, span, and dimensions?
 2 years ago
Is this right? The dimension of the space spanned by a matrix is the number of columns of the matrix. The dimension of a matrix is the number of rows of a matrix. The matrix exists in R^m, where m is the number of rows. Can someone give a clear definition of basis, span, and dimensions?

This Question is Closed

fatemeh8989
 2 years ago
Best ResponseYou've already chosen the best response.1basis is a set of vectors which 1. all of members are linearly independent and 2. all combinations of members can produce space.

fatemeh8989
 2 years ago
Best ResponseYou've already chosen the best response.1any question about this?

fatemeh8989
 2 years ago
Best ResponseYou've already chosen the best response.1the dimension of a space is the cardinal of basis set.

littlecat
 2 years ago
Best ResponseYou've already chosen the best response.0what is the "cardinal"? were my first two statements accurate?

fatemeh8989
 2 years ago
Best ResponseYou've already chosen the best response.1cardinal is the number of members of a set. your statements are not wrong... but hard to have an imagination in mind. at least for me. ( :d ) . by the definition i gave above. you can easily find out what you have to be looking for. or actually what a basis is.

fatemeh8989
 2 years ago
Best ResponseYou've already chosen the best response.1and also....the matrix that u mentioned in ur statement should have some conditions... that fullfil this, you know them?

littlecat
 2 years ago
Best ResponseYou've already chosen the best response.0the columns should be independent?

fatemeh8989
 2 years ago
Best ResponseYou've already chosen the best response.1exactly...!!! which is condition 1 in basis definition. and second condition in definition produce the space of your matrix. but generally if the space be whatever... any vectors ( even objects) the importance of condition 2 becomes more clear. i hope i didn't confused you. need more explanation?

fatemeh8989
 2 years ago
Best ResponseYou've already chosen the best response.1welcome :) good luck :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.