Question

Let S = {v1,v2,v3,v4,v5} where v1= (1,−1,2,4), v2 = (0,3,1,2), v3 = (3,0,7,14), v4 = (1,−1,2,0),...

Let S = {v1,v2,v3,v4,v5} where v1= (1,−1,2,4), v2 = (0,3,1,2), v3 = (3,0,7,14), v4 = (1,−1,2,0), v5 = (2,1,5,6). Find a subset of S that forms a basis for span(S).

Math   Calculus   
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).
Let v1=(0,1,2,3),v2=(1,0,-1,0),v3=(0,4,-1,2), and v4=(0,5,1,5). Let S=(v1,v2,v3,v4) (1)find a basis for span(S) (2)is the vector e1=(1,0,0,0) in...
Let v1=(0,1,2,3),v2=(1,0,-1,0),v3=(0,4,-1,2), and v4=(0,5,1,5). Let S=(v1,v2,v3,v4) (1)find a basis for span(S) (2)is the vector e1=(1,0,0,0) in the span of S? Why?
. Let v1,v2,v3,v4 be a basis of V. Show that v1+v2, v2+v3, v3+v4, v4 is a...
. Let v1,v2,v3,v4 be a basis of V. Show that v1+v2, v2+v3, v3+v4, v4 is a basis of V
Suppose ⃗v1,⃗v2,⃗v3,⃗v4 ∈ R3. Let V = {⃗v1,⃗v2,⃗v3,⃗v4} and let X = [⃗v1|⃗v2|⃗v3|⃗v4] be the matrix...
Suppose ⃗v1,⃗v2,⃗v3,⃗v4 ∈ R3. Let V = {⃗v1,⃗v2,⃗v3,⃗v4} and let X = [⃗v1|⃗v2|⃗v3|⃗v4] be the matrix whose columns are ⃗v1,⃗v2,⃗v3,⃗v4. Suppose further that every subset Y ⊂ V of size two is linearly independent. Explain what form(s) rref(X), the reduced row echelon form of X, must take in this case. Hint: you won’t be able to pin down exact numbers for every entry of rref(X), but you might know things like whether the entry can be zero or not, etc.
Let H=Span{v1,v2} and K=Span{v3,v4}, where v1,v2,v3,v4 are given below. v1 = [3 2 5], v2 =[4...
Let H=Span{v1,v2} and K=Span{v3,v4}, where v1,v2,v3,v4 are given below. v1 = [3 2 5], v2 =[4 2 6], v3 =[5 -1 1], v4 =[0 -21 -9] Then H and K are subspaces of R3 . In fact, H and K are planes in R3 through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line. w = { _______ }
If S=(v1,v2,v3,v4) is a linearly independent sequence of vectors in Rn then A) n = 4...
If S=(v1,v2,v3,v4) is a linearly independent sequence of vectors in Rn then A) n = 4 B) The matrix ( v1 v2 v3 v4) has a unique pivot column. C) S is a basis for Span(v1,v2,v3,v4)
Let S = {v1, v2, v3, v4} be a given basis of R ^4 . Suppose...
Let S = {v1, v2, v3, v4} be a given basis of R ^4 . Suppose that A is a (3 × 4) matrix with the following properties: Av1 = 0, A(v1 + 2v4) = 0, Av2 =[ 1 1 1 ] T , Av3 = [ 0 −1 −4 ]T . Find a basis for N (A), and a basis for R(A). Fully justify your answer.
A. Suppose that v1, v2, v3 are linearly independant and w1=v1+v2, w2=v2-v3, w3= v2+v3. Determine whether...
A. Suppose that v1, v2, v3 are linearly independant and w1=v1+v2, w2=v2-v3, w3= v2+v3. Determine whether w1, w2, w3 are linear independent or linear deppendent. B. Find the largest possible number of independent vectors among: v1=(1,-1,0,0), v2=(1,0,-1,0), v3=(1,0,0,-1), v4=(0,1,-1,0), v5=(0,1,0,-1), v6=(0,0,1,-1)
Determine whether the given vectors span R3 V1=(-1,5,2), V2=(3,1,1), V3=(2,0,-2), V4=(4,1,0)
Determine whether the given vectors span R3 V1=(-1,5,2), V2=(3,1,1), V3=(2,0,-2), V4=(4,1,0)
consider the basis S={v1,v2} for R^2,where v1=(-2,1) and v2=(1,3),and let T:R^2-R^3 be linear transformation such that...
consider the basis S={v1,v2} for R^2,where v1=(-2,1) and v2=(1,3),and let T:R^2-R^3 be linear transformation such that T(v1)=(-1,2,0) And T(v2)=(0,-3,5), find T(2,-3)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT