at | f = a is a subspace of RI0,1] if and

Q: Prove thatII = {(x, y, z)|x – 2y+ 3z = 0}is a subspace of JR³, %3D -

A:

Q: Let W = {a + bx + cx2 + dx c- 3d = 0} be a subspace of Pg. Then th dimension of W is equal to %3D O…

A: ANSWER :

Q: Find the projection of the vector v onto the subspace S. S = span 1 %3D V = 1 -1 1

A:

Q: Let W - (a + bx + cx + dx'l a +b-0 and c - 3d = 0) be a subspace of Py. Then the dimension of W is…

A:

Q: show thal the set of all poiuts in the Subspace of IR 3. plane ax +by+CZ =0 is +cz = ois CA

A:

Q: Find the orthogonal projection of onto the subspace W of R³ spanned by projw (v) |||| 6 V H 14 2 and…

A:

Q: Let H = Span{₁,..., If u € R¹ satisfies vú = v½ u then u belongs to H¹. p} be a subspace of R" . =…

A:

Q: a) Let V be the set of all polynomials of degree 2. Is Va subspace of P, the vector space of all…

A: If two vectors are in subspace then their sum should also belong to subspace

Q: Let W = {a + bx + cx² + dx°|c - 3d = 0} be a subspace of Pa. Then the dimension of W is equal to 3.…

A: PnF is set of all polynomials of degree nand smaller . PnF denotes the vector space over field F…

Q: 10. Is 2 = {(x, y,z)| x=2 y & z=1} a subspace of R³?

A:

Q: In the vector space of all real-valued functions, find a basis for the subspace spanned by {sin t,…

A:

Q: 9. Is Y = {(x,y, z) | y=z} R?? a subspace of

A: ψ={(x,y,z)| y=z}

Q: 10. Let Y = {(x,y,z)| z=-x}. (a) Is Y a subspace of R³? Justify. (b) Is Y a vector space? Justify.

A:

Q: Find the orthogonal projection of the vector v onto the subspace S. v = |2 S =

A: projS(V) = (u1.v/u1.u1)u1 + (u2.v/u2.u2)u2

Q: What is the dimension of the subspace W = {A = [aij] € R4x5|a45 = 0} dimW = Ex: 5

A:

Q: Let X =R, and M = (0} , the M is not subspace of R O True O False

A: Subspace of a vector space

Q: the set B=E[f る,L 2 ), L3 10 in M22 the subspace of Mez spanned by B. Since carly independent Cyou…

A: Note: As per bartleby's  guideline for more than one question asked only first is to be answered…

Q: Show that the set S = {(x, y) in R2 such that x =3y } is a subspace of the vector space R2 NOTE!…

A: That's easy. Have a good day!!!

Q: It can be shown that the set of all polynomials: p(t) on R is a real vector space. dp Is the set {q|…

A: The objectives to show the given set is a subspace

Q: Let  S=span(e1),  T=span(e2) and  W=span(e1+e3) be subspaces of R3.  S is orthogonal to T, T is…

A: Orthogonal Subspace

Q: For subspaces V & V-of R and V #R³, consider the set S=Vuv+. Is S=R°?

A: solution is given below

Q: Determine the following is the subspace in R’? W ={(x,y,z):x+y+z=0}

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Q: Find the projection of the vector v onto the subspace S.

A:

Q: Give a counter example to show that W is not subspace of R³. W=set of (x, y, z) where x + y = 1

A:

Q: The set { n > 1} is closed in (0, 0) as a subspace of R. - True - False I know the answer is true…

A: Given set  1nn≥1

Q: Is M = {(x,y,z)|x is nonnegative} a subspace of R³? Yes or No? Justify or give/find a…

A: Given  M =  x, y, z  x is nonnegative

Q: 3) Explain why S, = {(x, y) E R²:y > 0} and S1 = {(x, x²): x E R} are not subspaces of R?. %3D

A: We will solve both these parts using only basic knowledge of subspaces and vector spaces (in clear…

Q: Is W = ((x,y) | xy=0} a subspace of R??

A:

Q: Q. Show that (a,b,c) where c=a+b is subspace of R

A:

Q: Q.4 Show that U {(x, -x) |x in R} is a subspace of R?. %3D

A: Consider the given set. U=x,-x|xinR Let, consider that, f,g∈V And f, and g is defined as.…

Q: projw(x) is not orthogonal to every vector in the subspace W. O True False

A: We have to check whether the given statement, "projwx is not orthogonal to every vector in the…

Q: Find the orthogonal projection ŷ of y = 6 onto the subspace 2 -3 W = Span { ui = 3 Ex: 1.23

A:

Q: Is the set of all differentiable real-valued functions defined on R a subspace of C(R)? Justify your…

A: Given:Is the set of all differentiable real-valued functions defined on R a subspace of C(R)?

Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw() = eܐ ܝܕ ܝܐ [19 12 1…

A:

Q: Consider the set ? = ((x, x+ y, 2y)|x,y are real) of vectors in r3 . Is W a subspace? If yes, prove…

A: We have Set S = {(x, x + y, 2y) | x, y are real}. Let u, v be any two element of S then,

Q: Is the set of functions (taken from a vector space consisting of all functions of the real numbers):…

A:

Q: Consider the set S = yl E R : 4x +6z=7y, x – 13y=0 . Is this a subspace of R ? Explain why or why…

A:

Q: Denote by C[0, 1] , the space of all continuous functions defined on the unit interval [0, 1]. Show…

A:

Q: Let S = {" E M2xzi a = d and b+c 0 be a subspace of M2x2. %3D Then the dimension of S is equal to: 4…

A:

Q: Is Y = (x,y,z) | y=z} a subspace of R?

A:

Q: 4. Consider the vector space RR of functions f: R R. Let U = {f: R → R: f(42)=0}. Show that U is a…

A:

Q: 1 SROW thet w in not a subspace 3 a Vecíor space V=R, where wis defined

A: According to our company guidelines, in a multiple questions, we can answer only first question.…

Q: W e R"|2, > 0 over the field of reals is a subspace of the specified vector space ER"

A: Given that W=x1x2x3⋮xm∈Rm|x1≥0 and V=x1x2x3⋮xm∈Rm The objective is to show that W is subspace of V.…

Q: Find the orthogonal projection ŷ of the vector y = onto the subspace W = Span u 2 Ex: 5 C ŷ = %3D

A:

Q: Is Q = {(x,y,z) | x=2y & z=1} a subspace of R?

A:

Q: Let (u) be the orthogonal projection of U on the subspace of R4 that is stretched by the vectors 1 1…

A: Let V be a subspace of ℝn . To find the matrix of the orthogonal projection onto V , follow these 3…

Q: Let S= +c = 0 be a subspace of Mzxa- Then the dimension of S is equal to: 2.

A:

Q: Show that points on the plane x-2y+4z=0 form a subspace of R3

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Q: Explain why S = {(r,y) : x, y € R, x > 0} is not a subspace of R²

A:

Q: )let W : aib+c+d=0f be a subie be a subse C Maa . show that W.is a subspace of )

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.