Help please Advance math problem. Let V be the vector space of all functions from Rto R andW, = (S:(4) = 3 +f(2)}W,=(S: 2(3) = f(1)}W, = (S:A5) = 0}. Then(a) W, alone is a subspace(b) W, and W, are subspace(c) W, and W, are subspace(d) W, and W, are subspace%3D%3D%3D1.

Answered: Image /qna-images/answer/b8f54d49-df16-4f46-b157-445126623c5e.jpg

Let V be the vector space of all functions from R to R and W, = (/:(4) = 3 +f(2)} W, =/: 2{3) =(1)} W, = (f:(5) = 0}. Then %3D %3D (a) W, alone is a subspace (b) W, and W, are subspace (c) W, and W, are subspace 2 (d) W, and W, are subspace

Let V be the vector space of all functions from R to R and W, = (/:(4) = 3 +f(2)} W, =/: 2{3) =(1)} W, = (f:(5) = 0}. Then %3D %3D (a) W, alone is a subspace (b) W, and W, are subspace (c) W, and W, are subspace 2 (d) W, and W, are subspace

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

See similar textbooks

Related questions

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

Q: The integral X dx x² – 4 3

A: Solution

Q: Let M2(R) be the set of 2 x 2 matrices with real number entries, i.e., {[: :] inhader}. Define…

Q: QUESTION 10 Provide an appropriate response. Write the basic solution for the following simplex…

A: Since all the Cj-Zj are positive numbers so the given simplex tableau is final tableau. To determine…

Q: 1. Consider the circle in the ry-plane given by the parametrization x = 2 cos t, y = 1 +2 sin t, 0…

Q: give an example of a function that is not a dirichlet function and justify

Q: Determine the general solution to the differential equation dy +4x° = yx dx Use a "c" to denote the…

A: We have to find the general solution of the differential equation dydx+4x5=yx5.

Q: 1. Solve the given equation using Simpson 1/3 rule and Simpson -2x+4 1/3 rule composite solution…

A: It is a Numerical Analysis problem. Let us use composite Simpson's 1/3 Rule to find the solution of…

Q: 628 + j5z4 + 6 = 0 3.

Q: The indicial equation of the differential equation x²y" - x²y' + (1 +x)y 0 is: O r(r-2)=0 O…

Q: az az and uppose z is a function of r and y, and tan Vy? + x? = 2*e®w. Solve for

Q: r = 4 sin 0 r = 1+ sin 0 В A

Q: The eigenvalues of a symmetric L2 – kernel form a finite or an infinite sequence (A„) with no finite…

Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

Q: 8) (D + D,)'u= 0 %3D

Q: Consider the differential equation y" +x²y' + xy 0. By using power series solution about the…

Q: 1+z -= 8i - 5 1- z (1) Solve for z,

Q: 8. x³y" +x2 y" – 2x y' + 2 y = x³sinx - %3D

A: Solution :-

Q: 5. (a) Let V = R* and let (·, ·) be the standard dot product on V. (i) Calculate (e, +€3; €2 + €4).…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: An ellipse has a length of semi-major axis of 300 m. compute the second eccentricity of the eclipse

A: The second eccentricity of the ellipse is defined by the formula, e'=a2b2-1, where ais length of…

Q: 1. If the radius of a spherical balloon is increasing at the rate of 3 cm/s, which of the following…

A: We are only allowed to solve one question at a time so we will answer only the first question.…

Q: Permutation and Combination Show Solution 1. Given a set of set of distinct five digital circuit…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If L {f(t); p} = F(p), then ° f(t) S dt = F(u) du, assuming that the integrals converge and hence…

Q: d the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: Lagranges Multiplier method is used

Q: II. Consider the function g defined by 1 g(x, y) = cos (TLV) + logg(r – y)" Do as indicated. g 1.…

Q: a) A = (1 - 2), B= b) A = B = (3 -7) 2 2 8 A = B = о 11 c)

Q: Use any method to determine whether the series converges. k2 (a) k3 + 6 Vk (b) k3 + 6 ?

Q: Solve the following differential equation : d?y + 2 cos x· 2 sin x dx2 dy +2 sin x dx dy + 2y cos x…

Q: Given the equation x tanx - 1.28 = 0: %3D 1) Find how many positive solutions there are; 2) Find the…

A: We will use only the basic knowledge of real-valued functions and numerical analysis to answer all…

Q: A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach…

Q: o Find the basic feasible solution following (T.M) by using DI D2 10 D3 Supply 5 500 D4 S1 11 S2 3.…

Q: Describe the key features of f (x)%3= %3D 4x-12x+9 and sketch the graph. 10 4 -10 -D -8 -7 -5 -4 -3…

A: Here we find the domain and range of function. It's intercepts and asymptote are also find using…

Q: Using forward, backward and central finite divided difference to find the first derivative of y = at…

Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations х —…

A: We have to solve given Questions

Q: Sol vet he Vol terra integral equationof first kind g(t) g(x-t)dt = 16 sin 4.æ.

A: Solution:-

Q: Arcsin(x/y) = 4x + 3y

Q: Let / be the line given in parametric form by the equations x = 1 + 21 y = -1 + 31 z = 2 + 51 What…

Q: The velocity dx/dt of a chemical reaction is proportional to (a-x), where x is the amount…

A: Solution :-

Q: Solve the following system of differential equations. dw = -w + 52z dt dx 2x dt dy = 2w – 4y + 2z dt…

A: We are given the following system that we need to solve.…

Q: 6. tet 2 B= |-3 4 1 -4 5. 4 =) Find odj a Compute det (B) E Show that the 5 (Adj B) = (odj 8) 8 =…

Q: We consider the linear transformation T : R3 ------R 3 T(x,y,z) = ( x+2y-z, -x+y+2z, 3z) 1. Give the…

Q: 1.57 Let r, and yn be any two bounded sequences of real numbers. Prove that lim sup(xn + Yn) < lim…

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: We have to use Langrages Multipliers Method to find the minimum distance from (0,c,0) to a point on…

Q: Find cos 0, where 0 is the angle between two vectors a = 2i – 3j + 2k, b = -2i + 2j+6k

Q: find the genral solution (D +2D,D, -2D, +2)u = 0

A: Given Dx2+2DxDy-2Dy+2u=0 …………………(1) Consider the equation F(Dx,Dy)u=0 Here F(Dx,Dy) =…

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Here we will use total derivative If z is a function of x,y,z i.e. z=f(x,y,z) then…

Q: Let E be the solid that lies under the plane z = 3x +y and above the region in the xy-plane enclosed…

A: False Answer :- 35/3 Details solution is given in step 2

Q: (t+1 ,0<t <1 f(1) =- le', t21

Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

A: To determine the maximum volume of the gutter.

Q: Let f : A → B be a function and let G be an equivalence relation in B. Prove that f (G) is an…

Question

Help please Advance math problem.

Let V be the vector space of all functions from R
to R and
W, = (S:(4) = 3 +f(2)}
W,=(S: 2(3) = f(1)}
W, = (S:A5) = 0}. Then
(a) W, alone is a subspace
(b) W, and W, are subspace
(c) W, and W, are subspace
(d) W, and W, are subspace
%3D
%3D
%3D
1.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector u=(1,1,1,1) in the form u=v+w, where v is in V and w is orthogonal to every vector in V.
Find the projection of the vector v=[102]T onto the subspace S=span{[011],[011]}.
8. (a) Show that the vectors v1 = (1, 2, 3, 4), v2 = (0, 1, 0, – 1), and v3 = (1, 3, 3, 3), form a linearly dependent set in R*. (b) Express each vector as a linear combination of the other two.
Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the equation r1(t)=r2(t) may not produce all the points where the graphs of these functions intersect. Please Provide Unique Answer. Thank you!
7. (a) Show that the vectors v1 = (0, 3, 1, – 1), v2 = (6, 0, 5, 1), and v3= (4, – 7, 1, 3) form a linearly dependent set in R4 (b) Express each vector as a linear combination of the other two.
6. (a) Determine whether the set of all vectors of the form (a,b,c), where b = %3D a+c, is a subspace of R³.
Determine whether or not W is a subspace of R' where W consists of all vectors (a,b, c) in R' such that (a) a = 3b, (b) a
Find the subspace spanned by the three vectors [2 3 1]T, [2 1–5]T, and [2 4 4]T 『し

3 Find a basis of the subspace of R' defined by the equation -7x1 – 5x2 – 4x3 = 0.
(13.) Determine whether the vectors span the vector space. (a.) Let u = 2-5t+6t²-t³,v=3+2t-4t² (b.) Let vectors of P3(t). 1 2i -=(²²). -- (28) V= 5 i U= vectors of M2x2(C) over R. (c.) Let u = (2,0), v = (i, 1), w = (0, 2i), y = (1, 1) be the vectors of C² over R.
4) Let V be the vector space of polynomials of degree <2 and let p(x) = ax² + bx + c. Find the adjoint operator (T*@)(p) for T:V → V and o:V → R given by d) Tp(x) = x²p(x) + x³p'(x), @(p) = p"(1).
Let x(¹) (t) = -3t e 4e-3t, 0 x (²) (t) = [_5e-³]; x (³) (t) = -5e-3t, Are the vectors x(¹) (t), x(²) (t) and x(³) (t) linearly independent? choose ◆ If the vectors are independent, enter zero in every answer blank since those are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0 -3t [8] = 0[*]+[-+* 0 [4e-3t -5e-3t -0[ + -5e-3t -35e-3t -5e-3t -35e-3t