Question

find the basis and dimension for the span of each of the following sets of vectors....

find the basis and dimension for the span of each of the following sets of vectors.
a={[2,-1,1],[0,0,0],[-4,2,-2],[6,-3,3]}
basis=
dimension=

b={[3,3,3],[9,9,10],[21,21,23],[-33,-33,-36]}
basis=
dimension=

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If S is the set of vectors in R^4 (S= {v1, v2, v3, v4, v5}) where,...
If S is the set of vectors in R^4 (S= {v1, v2, v3, v4, v5}) where, v1 = (1,2,-1,1), v2 = (-3,0,-4,3), v3 = (2,1,1,-1), v4 = (-3,3,-9,-6), v5 = (3,9,7,-6) Find a subset of S that is a basis for the span(S).
Find a basis for each of the following vector spaces and find its dimension (justify): (a)...
Find a basis for each of the following vector spaces and find its dimension (justify): (a) Q[ √3 2] over Q (b) Q[i, √ 5] (that is, Q[i][√ 5]) over Q;
Find a subset of the given vectors that form a basis for the space spanned by...
Find a subset of the given vectors that form a basis for the space spanned by the vectors. Verify that the vectors you chose form a basis by showing linear independence and span: v1 (1,3,-2), v2 (2,1,4), v3(3,-6,18), v4(0,1,-1), v5(-2,1-,-6)
Do the following two sets of vectors span the same sub- space of R3? (Justify your...
Do the following two sets of vectors span the same sub- space of R3? (Justify your answer). X = ?(1,1,0)⊤, (3,2,2)⊤? and Y = ?(7,3,8)⊤, (1,0,2)⊤, (8,3,10)⊤?
Consider the vector: u1=(1,1,1), u2= (2,-1,1), u3=(3,0,2), u4=(6,0,4) a)Plot the dimension and a basis for W=...
Consider the vector: u1=(1,1,1), u2= (2,-1,1), u3=(3,0,2), u4=(6,0,4) a)Plot the dimension and a basis for W= span {u1,u2,u3,u4} b)Does the vector v= (3,3,1) belong to W? justify the answer. c) Is it true that W= span{ u3,u4} Justify answer.
For each of the following statements, say whether the statement is true or false. (a) If...
For each of the following statements, say whether the statement is true or false. (a) If S⊆T are sets of vectors, then span(S)⊆span(T). (b) If S⊆T are sets of vectors, and S is linearly independent, then so is T. (c) Every set of vectors is a subset of a basis. (d) If S is a linearly independent set of vectors, and u is a vector not in the span of S, then S∪{u} is linearly independent. (e) In a finite-dimensional...
Find the dimension of the subspace of R5 consisting of all vectors of the form (a,...
Find the dimension of the subspace of R5 consisting of all vectors of the form (a, b, c, d, e) where a = 2b and c = 4d.
Consider the vector u1=(2,0,2), u2=(4,1,-1), u3=( 0,1,-5), u4=(3,0,2) a) Find the dimension and a basis for...
Consider the vector u1=(2,0,2), u2=(4,1,-1), u3=( 0,1,-5), u4=(3,0,2) a) Find the dimension and a basis for U= span{ u1,u2,u3,u4} b) Does the vector u=(2,-1,4) belong to U. Justify! c) Is it true that U = span{ u1,u2,u3} justify the answer!
Find the dimension of the subspace U = span {1,sin^2(θ), cos 2θ} of F[0, 2π]
Find the dimension of the subspace U = span {1,sin^2(θ), cos 2θ} of F[0, 2π]
Consider the following vectors: →a = 3−221 →b = 6170 →c = −3−3−33 For each of...
Consider the following vectors: →a = 3−221 →b = 6170 →c = −3−3−33 For each of the following vectors, determine whether it is in span{→a, →b, →c}. If so, express it as a linear combination using a, b, and c as the names of the vectors above. →v1 = 21622−5< Select an answer >→v2 = 5990< Select an answer >→v3 = −3−8−65< Select an answer >
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT