Subspaces

Welcome to the Subspaces category on Questions LLC! Whether you're a math enthusiast, a student, or simply curious about the concept of subspaces, you've come to the right place. This category is dedicated to answering your questions and providing useful discussions surrounding the fascinating world of subspaces. Whether you're seeking a better understanding of the definition and properties of subspaces, looking for examples to solidify your knowledge, or eager to explore the applications in various fields, our community of experts is here to help. So, dive into our collection of questions, engage in insightful conversations, and expand your understanding of subspaces with us!

Questions (12)

what is the basis of a subspace or R3 defined by the equation2x1+3x2+x3=0 I know the basis is vectors <-3,2,0> and <-1,0,2> but
1. 4 answers
2. asked by jen
3. 5,799 views
Show that the following sets form subspacesA)The set of all (x, y) in such that x = y B)The set of all (x, y) in such that x –
1. 2 answers
2. asked by Ayansa Dabesa soboka
3. 82 views
Let V be a subspace of (3. What are the possible dimensions for V? Show that ifV ((3, then either V = {0}, or V is a straight
1. 2 answers
2. asked by Ayansa Dabesa soboka
3. 57 views
Show that the following sets form subspacesThe set of all (x, y) in such that x = y The set of all (x, y) in such that x – y =
1. 2 answers
2. asked anonymously
3. 67 views
W= [ a , a+b ] (2x2 matrix)[a-b , b ] a, b are element of R Show that W is a Subspace of M22?
1. 1 answer
2. asked by Wong
3. 329 views
W= [ a , a+b ] (2x2 matrix)a-b , b a, b are element of R Show that W is a Subspace of M22?
1. 1 answer
2. asked by Wong
3. 397 views
determine whether x=[2,3,4]+t1[1,1,1]+t2[1,2,3] is a subspace of R3I honestly don't even know where to start. Please, help
1. 1 answer
2. asked by Lid
3. 389 views
Which of the given subsets of R3 are subspaces?(a) The set of all vectors of the form [a;b;0] b)The set of all vectors of the
1. 1 answer
2. asked by kirsten
3. 517 views
Which of the given subsets of R3 are subspaces?(a) The set of all vectors of the form [a;b;0] b)The set of all vectors of the
1. 1 answer
2. asked by kirsten
3. 718 views
show that the only subspaces of R1 are 0 and R1 itself.okay , so I don't know if I'm making it more complicated than it is, but
1. 1 answer
2. asked by kirsten
3. 824 views
Let W be a subspace of V. If dim W = dim V, then V = W Proof:
1. 3 answers
2. asked by Ayansa Dabesa soboka
3. 33 views
Show that a subset W of a vector space V is a subspace of V if and only if the following condition holds: If u and v are any
1. 1 answer
2. asked by chris
3. 363 views