(7) Given A, P € M„(R), show that if A is skew-symmetric, then B = PT AP is also skew- symmetric.

Q: 10. S= {r² + 3r +1, 2r? +r – 1,4r +1} is: a. a linearly independent set of P2. b. a linearly…

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Q: 4. (~PV Q) Р P F F F F

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Q: 2. (Chapter 2, p.82) In computing Var(yoyo), where yo = Bo Bico and yo = Bo + Bixo + €0, we used…

A: The data given in the problem is as follows:It is required to express  as a linear combination of…

Q: Let D={(x,y,z) : x²+y²+z²≤ 1521, z2 :0}. Evaluate JJb ²0 z dv.

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Q: Show that S {x€R* |2,• 24. • O} is/isn't %3D convex

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Q: Let a,b,c eZ. If a|b and a |c then a' |(b² =c² ). nsi2

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Q: What is u × w, assuming that w × u = 〈2, 2, 1〉?

A: Given,w×u=2,2,1 To find:u×w Solution: We know ,by property of cross product of two vectors (say,a…

Q: Does S={(1,0,1),(2,1,0),(3,,1,1),(1,1,1)} spans R³ ? Select one: O True O False

A: Given: S={(1,0,1),(2,1,0),(3,1,1),(1,1,1)}

Q: If w(f.9) = , then w(s.S+9) = (A) (B) - (C) 22 (D) -22 (E) None

A: Ans:- If w(f,g)=x2, then we have to find the value of w(f,f+g).

Q: Determine the minimal polynomial of 2/3 – V5 ov over 0.

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

Q: b) Compute Sc C 2z²+z+₁ dz, where Z² +4 iii) C = {z: \z+i)=2

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Q: f(y) = 3{/v +Vv- 2V a. f'(V) = 12y O b. 9Ny-6Vy-8/y 12y Oc. 9y +6Vy- 8v 12y O d. 9+6Vy +8Vy 12y

A: Topic:- Derivative  correct option = c

Q: Show that 6.8) fdx + gdy = Jc.8) (12,16) • (12,16) - (28x³3 By³dx + 35ytx dy) is independent of…

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Q: Let X and Y be iid N(1,3). Let U = 4X + Y and V V_dependent or independent? Justify your answer. 2X…

A: Given X  and Y be iid with N(1,3). Mean, μ=1 Standard deviation, σ=3  U = 4X + Y and V = 2X — 3Y

Q: what is the averaage value of y=a/x on [1,b]?

A: First we have to find formula of average value.

Q: Find r, s, and t so that (a) z = 1 2 x, (b) z + u = x, (c) z − x = y.

A: Given  And z+u=x and z-x=y. We need to find the value of r , s and t.

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: Compute u X v.

A: Here given vector as u=3-12, v=011 These vectors can be written as u=3i-j+2kv=j+k

Q: Find the degree of Q(V2, V5) over Q.

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Q: (P → (Q → R)) ↔ ((P → Q) → R)

A: Given expression is (P → (Q → R)) ↔ ((P → Q) → R) We know that, a sentence is said to be a tautology…

Q: 公キW+メ+2 4 V+ 2W+メ+4+2=5 サキ Wt 2X +yキ V +W +X + y + 27 = 8

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Q: Let X and Y be independent and distributed as N(mu, 1). Is T=X-Y sufficient?

A: According to factorization theorem, if the likelihood function Lx,θ can be expressed in the form.…

Q: a) Define AAB = (A − B) U (B − A), where A, B are any two sets. Show that (ΑΔΒ)ΔC = ΑΔ(ΒΔC).

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Q: (8 (10 pay x/x = (x+x)= xpe (1)3-x 21-AIBALI only one

A: As per bartlby guidelines we can answer only first question and rest can be reposted

Q: U %3D {x\x € N Лх> 1},А %3D {-2, —1,0, 3, 6, 7, 9}, С %3D {6, 7, 8,9, 12,13}. Find: a) AnC b) AUC с)…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: Verify that ||v-w||^2=1 when ||v||=2, ||w||=1, and v*w=2

A: By the definition of inner product and norm we can derive the following formula : ‖u-v‖2=⟨u-v,u-v⟩…

Q: ở =, then If f(x, y, z) = In(2 + x² – 2y² – 3z), Duf(2, –1, 1) = A) % 11 V3 В) 11 C) D) - E) OC O D…

A: The solution is given as

Q: Let W ~ Bin(2, p) and X ~ Bin(4, p). If P(W > 1) = 0.33, find P(X > 1)

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Q: ~ on R? by (x, y) ~ (u, v) if and only if ? + y? = u² + v2. In class, we saw that this defines a…

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Q: 26. Let A=61] Find a) A V B. and b) Α Λ Β. B = [id] c) A OB.

A: