Question

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.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let W be the subset of R^R consisting of all functions of the form x ?→a...
Let W be the subset of R^R consisting of all functions of the form x ?→a · cos(x − b), for real numbers a and b. Show that W is a subspace of R^R and find its dimension.
Let V be the subspace of all vectors in R 5 , such that x1 −...
Let V be the subspace of all vectors in R 5 , such that x1 − x4 = x2 − 5x5 = 3x3 + x4 (a) Find a matrix A with that space as its Null space; What is the rank of A? b) Find a basis B1 of V ; What is the dimension of V ? (c) Find a matrix D with V as its column space. What is the rank of D? To find the rank of...
Use Theorem on Subspaces to determine whether the set of all vectors of the form (b,...
Use Theorem on Subspaces to determine whether the set of all vectors of the form (b, 1, a) form a subspace of R3.
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=
Let G be the subgroup of R^3 consisting of all vectors of the form (x, y,...
Let G be the subgroup of R^3 consisting of all vectors of the form (x, y, 0). Let G act on R^3 by left multiplication. Describe the orbits of this G-action geometrically. Show that the set of orbits are in one to one correspondence with R
Find a linearly independent set of vectors that spans the same subspace of R3 as that...
Find a linearly independent set of vectors that spans the same subspace of R3 as that spanned by the vectors [-3,1,3] , [-6,5,5],[0,-3,1] Linearly independent set: [x,y,z] , [x,y,z]
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]
Determine whether the given set ?S is a subspace of the vector space ?V. A. ?=?2V=P2,...
Determine whether the given set ?S is a subspace of the vector space ?V. A. ?=?2V=P2, and ?S is the subset of ?2P2 consisting of all polynomials of the form ?(?)=?2+?.p(x)=x2+c. B. ?=?5(?)V=C5(I), and ?S is the subset of ?V consisting of those functions satisfying the differential equation ?(5)=0.y(5)=0. C. ?V is the vector space of all real-valued functions defined on the interval [?,?][a,b], and ?S is the subset of ?V consisting of those functions satisfying ?(?)=?(?).f(a)=f(b). D. ?=?3(?)V=C3(I), and...
Let W be the subspace of R4 spanned by the vectors a = 3e1 − 4e2...
Let W be the subspace of R4 spanned by the vectors a = 3e1 − 4e2 and b = e2 + e3 + e4. Find the orthogonal projection of the vector v = [2, 0, 1, 0] onto W. Then calculate the distance of the point v from the subspace W.
Find the orthogonal projection of u onto the subspace of R4 spanned by the vectors v1,...
Find the orthogonal projection of u onto the subspace of R4 spanned by the vectors v1, v2 and v3. u = (3, 4, 2, 4) ; v1 = (3, 2, 3, 0), v2 = (-8, 3, 6, 3), v3 = (6, 3, -8, 3) Let (x, y, z, w) denote the orthogonal projection of u onto the given subspace. Then, the components of the target orthogonal projection are
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT