Let X = (!,2) and T3} U = (1,2-)inel,2,U+ jult. %3D n+1 show that X is not T - space

Q: Let x, y ∈ R. Suppose x^2 +y^2 = 0. Prove that x = 0 and y = 0.

A:

Q: what happened to the 1(1-lambda) part in the first line

A: Given

Q: [} [2] » 21. Let u = and v = Show that is in k Span {u, v} for all h and k.

A:

Q: Let U1, U2, U3, .,U48 be independent and identically distributed U,~Unif(0,1) and X = U, + U2 + U3 +…

A:

Q: 6. Determine if {(x, y): x^2 + y^2 ≥ 8} is a subspace of R^2

A: The given set is {(x, y) | x2 + y2 ≥ 8}. We check whether the set is a subspace of R2.  Since the…

Q: Prove that if A is invertible, then 1 det (4) det (4-¹) = -

A: We have given that a square matrix A is invertible. To show that detA-1=1detA. We know that an…

Q: sim хэ-со духа - X+2

A:

Q: Consider the vector space R^n with inner product

A:

Q: Compute Cov(X,Y)

A: Solution: From the given information, the joint distribution is

Q: Find the denhetive f fue function: In(G at

A: Explained below

Q: Show that the embedding of part (g) takes lines to "lines."

A: (h) We have to show that lines from ℝ2 maps to lines in P2. Lines in ℝ2 will be of the form ax+by=0.…

Q: Find oxthogonal uncdary diagonalizing an or matri'y to lMowing tor One 2 (a) (b) 3 -2 -2

A: A square matrix A is called as orthogonal matrix if AxAT=ATxA=I where AT transpose of matrix A. and…

Q: Show why the product {[x1, x2], [yı, y2]} = xıy2 does not satisfy the conditions for an inner…

A: See the detailed solution below.

Q: *י 4** *)א hauoded

A:

Q: Define Interactions Between a Continuous and a Binary Variable?

A: The interaction between a continuous and a binary variable is simply the product of these two…

Q: If l is a line through (0,0), the point (0,0) divides the line l into two rays. Also, a…

A: To determine for which rays starting at the origin ez is bounded, we need to analyze the behavior of…

Q: flx) = x (x-2)+g Eメとス ;if x22 Show that there exists a S such +hat 1x-2166 implies fex)-8<A

A:

Q: + xln\ V 1 – x° | dx

A: