U(5) is not isomorphic to U(10) اختر احدى الدجابات True False

Q: 1 Show that u(7) -

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Q: Prove that for every integer n > 2, P(n+1, 3) = n³ . %3D -n.

A: Given to prove that for every integer n≥2,  Pn+1, 3=n3-n. We shall prove this by the method of…

Q: Show that the correspondence x --> 5x from Z5 to Z10 does not preserveaddition.

A: Given:Z5 and Z10. We have to show that the correspondence x→5x from Z5 to Z10 does not preserve…

Q: (- 1)" _ 3 En=0 'n =D0 3" 4 Select one: True O False

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Q: 8) Suppose A E Mnxn(F) is diagonalizable. Let A1,· , Ak be the (distinct) eigenvalues of A. a) Prove…

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Q: E. On the right: a. r*ak + r*(-ak) = r*(ak + (-ak)) b. r*(ak + (-ak)) = r*0 c. r*0 = 0 F. So, r*(aj…

A: the last three lines also proves b and c too.

Q: 28)Use the graph to solve a) f(x)0 -fx)

A: To solve the given equation and the inequality , straight from the graph of y=f(x).

Q: If X ~ U(3,7), then P(X = 4) ≠ P(X = 7) true or false

A: X~U3,7

Q: Show that п ()- = 1- 1 and п,

A: It is given that,

Q: xʻy Let f (x, y) = if (x, y) # (0,0) and f (0,0) = 0. (x4+6y8) r4.

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Q: Evaluate iy ( + + " ). Nin t

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Q: how did the y' and 2y' apearred out of no where in line 7

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Q: If a is transcedental over Q then a^2 is also transcedental over Q

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Q: i+?) tan'군 %3D

A: We have to prove following identities

Q: Q3: Prove that i) Intersection is distributive over union for arbitrary number of sets. ii) Union is…

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Q: [о, 1] x [1, 2]

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Q: (49-12)3/2 +6 - dt

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Q: 2- find aw dw if w = xy + ду +3/1

A: Given is the function w=xy+eyy2+1. We need to find ∂w∂y. In order to find the partial derivative…

Q: Prove that if x is real number then L2xd =LxJe bx+!]

A: We will prove the expression by two  steps taking real number x in two form.

Q: Find AB if 101 1 2 1 2 1 1 ----- () and B= 2 3 1 0 1 1 422 112 A =

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Q: -2 3 0 71 -1 0 0 0 3 0 0 -1 3 0 00 5 3 2 5 3 0 0 If A = -3 4 5 6 -

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Q: For each of the following linear systems, find all solutions by using the LU Decomposition method.…

A: The given system is                                     x1+2x2+4x3=33x1+8x2+14x3=132x1+6x2+13x3=4

Q: -) Let dim(V) = n. Let T : V → V be a linear operator. Let W1, W2 C V e T-invariant subspaces.…

A: given dimV=n , W1,W2⊂ V be a T-invariant subspace. suppose V=W1⊕W2 let β1=w1,w2,....wk be an ordered…