If A = (1,2,3), then A A = V14 False True

Q: If B = B-1 then B = I or B = -I. Prove or give counter example.

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Q: 1. Show that A ⊆ A. 2. Show that if A ⊆ B and B ⊆ C, then A ⊆ C

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Q: Let u = (1, 2, 3), v = (2, 2, −1), and w = (4, 0, −4).Find 2u + 4v − w.

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Q: W = U. W = 5, and ||W||2 a, then the value of a is: If U =

A: Given, U=12, W=xy U·W=5 and W≥α.

Q: 3. Given u =(3, 10,-8) and v = (-1,6,4), a) find 3v--u

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Q: Let u = (1, 2, 3), v = (2, 2, −1), and w = (4, 0, −4).Find 5u − 3v − 1/2 w.

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Q: Prove or disprove: If a,b ∈ Z, a, b > 0 and a^2 | b^3, then a|b.

A: Prove or disprove: If a,b ∈ Z, a, b > 0 and a^2 | b^3, then a|b.

Q: Let A= {1, 2, 3, 4, 5} and B = {∅}. Find A ∪ B.

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Q: estion 2. Prove that if AUB= A is true, then AnB = B is also true, AND CONVERSELY.

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Q: TRUE or FALSE: 1. If g = (a, b) and a = gc, then (c, b) = 1 2. If (p, q) = 1 and (q, r) = 1, then…

A: GCD is the greatest common divisor of two or more numbers is the greatest common factor number that…

Q: Let A = (-0,0), B=(0,0) then AUB=

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Q: (а b)с + (а - с)b + (с b)a 3 ve that v belongs to B.

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Q: Example Let A= B = 1. proof |A x B| = |A| × |B| %3D

A: Solve individually left hand side and right hand side expression to prove the given expression.

Q: If a = bx + c, then x=

A: This is an equation in which we calculate x

Q: 2 Find Éu, 3v, v - u, and 2u + 5v. u = (7, 9), v = (6, -5) (a) -u (b) 3v (c) v - u

A: the given vectors are u=7,9 and v=6,-5.

Q: F = [0.5 Rani, 0.2 Suman, 0.4 Anita, 0.8 Sunita] drrits ofr be a set of fat girls, and G = [0.1…

A: fuzzy sets

Q: 2 Find u, 3v, v - u, and 2u + 5v. 3 u = (7, 6), v = (4, –4) %3D (a) u 3. (b) 3v (c) V - u

A: Given : u=<7,6> v=<4,-4>.

Q: Let u = (6,-4), v = (-3,9), and w= (0,-7). Express 9u-2v + w in the form (a,b). 9u-2v+w= (Simplify…

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Q: 2. Find u, 3v, v-u, and 2u +5v. 3. u = (5, 3), v = (3, -2) %3D

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Q: Let V = xi+ 2yi + Ozk, then [v-V =

A: ∇ is an operator and ∇=∂∂xi+∂∂yj+∂∂zk

Q: 7 6 5 8 7 6 t(A) = 0 and A-¹ does not exist, but adj(A ists.

A: First we calculate the determinant of given matrix A

Q: LET fCe) =12-31.. If Find: (a) fCu) え40 (b) ) fcn) it n z5

A: topic - functions

Q: Find u - v, 2(u + 3v), and 2v 8 u-(6,-8, 5, 3), v= (-2, 블,-을-1) (a) u - v = (b) 2(u + 3v) = (c) 2v –…

A: Given  u = (6,-8,5,3) v = (-2,83,-53,-1) (a)  u - v = 6 -(-2) , -8 -83  , 5 -(-53) , 3- (-1)  u -v =…

Q: If X = {1,2.3}, A and B are IFSs where A= (x,{1},{2}) and B = (x,0,{2,3)) then An B

A: Intersection of Two Sets The intersection of two sets is the set of elements that are common to…

Q: If F(s) : then (s-1)² '

A: This question is related to Laplace transform

Q: (u + 3v), and 2v – u. (5, 0, –2, 9), v = (0, 6, u - v = 2(u + 3v) =

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Q: an = an -a t an -z and a,=3,az =9 az= as =

A: Given :

Q: (b) Let A and Bị be independent; similarly, let A and B2 be independent. Show that in this case, A…

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Q: Let u = (5, - 3), v = (-4,7), and w = (0,4). Express 9u - 4v + w in the form (a,b). 9u - 4v + w =…

A: Multiplying a vector by scalar is process of multiplying each of its components by that scalar and…

Q: (7, -8) and w=(-4,8), Given v= find v+w. v+w=

A: We know that, A vector in form of V→=a,b is represented as V→=ai^+bj^

Q: Let w = (2, −2, 1) and v = (4, 5, −4). Solve for u if v + 5u =3w − u.

A: Simplification of the function helps to find the vector u. Component-wise operations help to get…

Q: Let A = {x C {0, {0}} | x # 0} How many elements does A have? 1 2 4 3.

A: Given set is A=x⊆ϕ,ϕ|x≠ϕ. We have to find the number of elements in set A. We know that, set ϕ,ϕ has…

Q: HW If A= 4 31 A-[] and B= Lis 8 . Find A-B Prove A-BB. Hw/ If =[ And A

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Q: and y= If a = -5, then x =

A: Use cos and sin theta

Q: Find u - v, 2(u + 3v), and 2v - u. u = (5, 0, -2, 6), v = (0, 9, 6, 5) (a) u - v =| (b) 2(u + 3v) =…

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Q: Find u - v, 2(u + 3v), and 2v – u. u = (5, 0, -3, 8), v = (0, 2, 8, 5) (a) u - v = (b) 2(u + 3v) =…

A: The objective of the question is evaluate the given values.

Q: Find u - v, 2(u + 3v), and 2v – u. u = (5, 0, –8, 9), v = (0, 6, 9, 5) (a) u- v = (b) 2(u + 3v) =…

A: For adding or subtracting two vectors we add or subtract the corresponding components of the…

Q: 2. Find u, 3v, v - u, and 2u + 5v. u = (4, 3), v = (3, -7) (a) u 券 (b) 3v (c) v - u (d) 2u + 5v

A: Please find the solution below:

Q: 1. Let A = {a, b, c}, B = {x, z}, and C = {0, -1}. Find а) В хАх С. b) С х Вx А. с) С хАх В. d) В x…

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Q: ANB2 {2, 3} implies that {2, 3} CA and {2, 3} C B. Select one: O True o False

A: We have to check wheather it is true or not

Q: Let ū = (1,– 3,2), v = (2, 2,1) , w = (- 4, -1,2), find the following or state it doesn't exist or…

A: “Since you have asked multiple questions in a single request, we will be answering only the two…

Q: Let u=(2,6,-7), v=(-1,-1,8), and 3. If (2, 14, 11)=ku+lv what is the value of l?

A: i AM GOING TO SOLVE THE GIVEN PROBLEM BY USING SOME SIMPLE ALGEBRA TO GET THE REQIURED RESULT.

Q: Find u - v, 2(u + 3v), and 2v - u. = (4, 0, -3, 5), v = (0, 7, 5, 4) (a) u - v = (b) 2(u + 3v) = (c)…

A: We will find the sum of vectors.

Q: 0. Show that C[-1,1] c C[0,1]. C[0,1]).

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Q: F = [0.5 Rani, 0.2 Suman, 0.4 Anita, 0.8 Sunita] be a set of fat girls, and > 541Lpdyens G = [0.1…

A: fuzzy sets

Q: If A={1,2}, then A x A =

A: Given data, A = [1,2]A×A =(X1 ,Y1)×(X2 ,Y2)= {1,2}×{1,2} A×A =(X1 , X2) (X1 ,Y2) (Y1 , X2) (Y1 ,Y2)=…

Q: Find |AI, IBI, AB, and IABI. Then verify that |A||B| = |AB|. -3 1 A = [ ], B = [ 11 ] 9 -3 -1 (a)…

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Q: -2 -2 1 -7 Let v, = -1 . V2 = V3 = -7 and u= 7 Determine if u is in Nul A, where A = 3 3 7 3

A: Null space: Homogeneous linear systems' solution sets are a valuable source of vector spaces.…