Question

prove these are subspaces of R^2 and R^3 1. {[ 0 X ] : x is...

prove these are subspaces of R^2 and R^3
1. {[ 0 X ] : x is an element of R}
2. {[1 X ] : X is an element of R}
3. {[ x+2 x+2]: X is an element of R}

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
How many distinct invariant subspaces does the linear operator T: R^3 --> R^3 defined by T(x,y,z)...
How many distinct invariant subspaces does the linear operator T: R^3 --> R^3 defined by T(x,y,z) = (4z-y, x+2z, 3z) have? 0 1 2 3 4
Let H1 and H2 be subspaces of R^n. Prove that the intersection of H1 and H2...
Let H1 and H2 be subspaces of R^n. Prove that the intersection of H1 and H2 is a subspace of R^n. Will the union of H1 and H2 always be a subspace of R^n? I'm pretty lost here so please show/explain every step! Thanks!
Find bases for the four fundamental subspaces of the matrix A [ 1 0 0 ]...
Find bases for the four fundamental subspaces of the matrix A [ 1 0 0 ] 0 1 1   1 1 1 [ 1 8 8 ] find N(A) basis ______________ N(AT) = __________ R(A) basis = ___________ R(AT) = ______________
Exercise1.2.1: Prove that if t > 0 (t∈R), then there exists an n∈N such that 1/n^2...
Exercise1.2.1: Prove that if t > 0 (t∈R), then there exists an n∈N such that 1/n^2 < t. Exercise1.2.2: Prove that if t ≥ 0(t∈R), then there exists an n∈N such that n−1≤ t < n. Exercise1.2.8: Show that for any two real numbers x and y such that x < y, there exists an irrational number s such that x < s < y. Hint: Apply the density of Q to x/(√2) and y/(√2).
Prove that the function f : R \ {−1} → R defined by f(x) = (1−x)...
Prove that the function f : R \ {−1} → R defined by f(x) = (1−x) /(1+x) is uniformly continuous on (0, ∞) but not uniformly continuous on (−1, 1).
Prove that the set S = {(x, y, z) ∈ R 3 : x + y...
Prove that the set S = {(x, y, z) ∈ R 3 : x + y + z = b}. is a subspace of R 3 if and only if b = 0.
1. Prove p∧q=q∧p 2. Prove[((∀x)P(x))∧((∀x)Q(x))]→[(∀x)(P(x)∧Q(x))]. Remember to be strict in your treatment of quantifiers .3. Prove...
1. Prove p∧q=q∧p 2. Prove[((∀x)P(x))∧((∀x)Q(x))]→[(∀x)(P(x)∧Q(x))]. Remember to be strict in your treatment of quantifiers .3. Prove R∪(S∩T) = (R∪S)∩(R∪T). 4.Consider the relation R={(x,y)∈R×R||x−y|≤1} on Z. Show that this relation is reflexive and symmetric but not transitive.
(b) Define f : R → R by f(x) := x 2 sin 1 x for...
(b) Define f : R → R by f(x) := x 2 sin 1 x for x 6= 0, and f(x) = 0 for x = 0. Does f 0 (0) exist? Prove your claim.
1) Find a basis for the column space of A= 2 -4 0 2 1 -1...
1) Find a basis for the column space of A= 2 -4 0 2 1 -1 2 1 2 3 1 -2 1 4 4 2) Are the following sets vector subspaces of R3? a) W = {(a,b,|a|) ∈ R3 | a,b ∈ R} b) V = {(x,y,z) ∈ R3 | x+y+z =0}
Let I= (x2 +2) in Z7 [x] , and let R be the factor ring Z7...
Let I= (x2 +2) in Z7 [x] , and let R be the factor ring Z7 [x] / I. a) Prove that every element of R can be written in the form f + I where f is an element of Z7 [x] and deg(f0< or =2 or f=0. That is, R={ f + I : f in Z7 [x] and (deg (f) , or=2 or f=0)}
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT