Find U4,, Ñ4, , if A, = {0,1, 2, .}, A2 = {2,3, ...}, ., An = {n,n+ 1,. %3D

Q: Assume that 6% of the sixth graders and 3% of the fifth graders participate in Math Olympiad. There…

A: 1st question is based on percentage application and second is on formula  (a+b)(a-b) = (a2-b2)

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: Find the values for c1, c2, and c3 to make sure that: c1 (10, 25, 1) + c2 (-15, 5, 0) + c3 (5, 0,…

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Q: x,2,3) x ,x,1) P,(2,1,1) d ( P,(0,3,5) d (-

A: 1. P(x,2,3), Q(2,1,1), d(P,Q)=21 2. P(x,x,1), Q(0,3,5), d(P,Q)=5

Q: 24. R(-2, 4), S(8, 4), T(8, –3), U(-2, –3) 2

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Q: doe Zw+3)4

A: Given: ∫2∞12w+34dx

Q: T(а, b, с, а, е, ) T(f, e, d, c, b, a) ' T(e,f,d,c, b, a) Τ(α, e,c, d, b, ) Τα,, b, d, e, f) Т(е, f,…

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Q: v = (-1, 7, 2), u, = (1, 2, 4), u2 = (2, –1, 3), uz = (-2, 3, –1)

A: Given the vectors v= (-1,7,2) , u1 = (1,2,4) , u2 = (2,-1,3) , u3 = (-2,3,-1).

Q: If S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {0, 2, 4, 6, 8}, B = {1, 3, 5, 7, 9}, C = {2, 3, 4,…

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Q: →                      →               a = (−5, 3) and b = (−1, −2), so →   →   a + b = _____?

A: Given: a→=-5,3, b→=-1,-2 We know that sum of two vectorsp→=x1,y1,q→=x2,y2 is given by p→+q→=x1+x2,…

Q: b) O А- {1, 2, 3}, ={2, 3, 4} c) А-{1, 2, 3}, В %3{2, 3, 1} d) O А-D {1, 2, 3}, В 3{1, 2, 3, 4}

A: In the given question we have to tell about the set s.t A-B=B-A Definition of A-B: The set A-B…

Q: D(-4, 3), E(-2, 3), F(-1, 1), G(-4, 1) 11) and L(1, –1), M(3, –1), N(6, –3), P(1,–3)

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Q: Find the value of the sum. Eyfx-7,x,--Lx, - 6, x, = -9 X3 = 6, x, %3D

A: Given that: x1=7, x2=-1, x3=6, x4=-9

Q: 1- Y(A,B,C,D)={(6,14,4,12,9,11,1,3) 2- Y(A,B,C,D)= E (5,7,13,15,2,10) 3- Y(A,B,C,D)= E…

A: Summation (6,14,4,12,9,11,1,3) = (6+14+4+12+9+11+1+3) = 60

Q: (d) on {1,2,3} given by R₁ = {(1, 1), (2, 2), (3, 3), (2, 3), (3, 2)}

A: Use the given set and relation.

Q: R={(4,1) (2,2),(3,1),(3,3), (1,3)},A={1,2,3} then [1]= %3D .a {1,3} .b {2} .C {1,2,3}

A: Equivalence class

Q: 3. а, %3-2, а, 3D (а-)? — 1 2- а,-1 6. а, 3-2, а, 2 9. a, = n° – n?

A: using given formulas of sequence we can find he term of sequence

Q: With U={1,2,3,..,9,10} and A={1,2,3,4,5} B={1,2,4,8}, C={1,2,3,5,7}, D={2,4,6,8}. Determine (AUB)nC

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Q: Find the number of possible combinations of the letters w, x, y and z if the letters are taken 2 at…

A: We have to use combination formula to find the solution.

Q: a. {(1, 1), (2, (1, 2, 3)}; b. {(1,0, 1), (1, 2, 4), (2, 2, 5), (2, 2, –1)}; R³ C. {(1.0 2 3) (0.…

A: Given that a. {(1,2,1), (2,4,5), (1,2,3)} c. {(1,0,2,3), (0,1,1,1), (1,1,4,4)}

Q: 2х, - х, + х, -2х, - 3х, + х, %3D -5.5 2х, - х, + х, + 5x, %3D 7 2х, 2) 2х, Зx, + 3x, 4х, + 3x,…

A: Instead of given variables I choose  a ,b,c,d,e,f as new variables

Q: 2. (~P-Q) – (~P – -Q) Q -P -P+Q -P - "Q (-P - Q) - (-P- -Q)

A: P→Q is False if and only if P is True and Q is False P↔Qis False if and only if one is True and…

Q: O (-∞, ∞) (-0, а) O (-∞, a] (а, о») [а, о) (-00, а) U (b, о) О (-00, а] U [b, о») О (-0, а) U (b, с]…

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Q: 1.A(-2, 5), B(-1, 3), C(1, 5) along (3, 0) 2. N(2,-2), P(1,-4), Q(7, 4), R(6, -2) along (4, 5)_

A: 1. A (-2 , 5) B ( -1 , 3 ) C ( 1 , 5 ) along vector (3 , 0) vertices after translation can be find…

Q: If A a) N{A} b) N{B} c) N(ANB) d) N(AUB) {1,2,3,4} and B {2,4,6,8}, find: =

A: To Determine:  find                           a)NAb)NBc)NA∩Bd)NA∪B Given: we have A=1,2,3,4   and…

Q: Let a = (2, 4, 6) and b = (4, 2, 4). - (å – 6) × (å + 6)

A: Given: a→=2i^+4j^-6k^ b→=4i^+2j^+4k^ a→-b→=2i^+4j^-6k^-4i^+2j^+4k^          =-2i^+2j^-10k^…

Q: О в. (0, 2), (0, —2), (V3, -1), (-V3, -1) Ос. (2,0). (0, —2). (—V3, —1), (—1, —V3)

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Q: Let ā = [-2, 3, 5], b = [4, –1, 4] and č = [8, - 6, 1]. Calculate (3č + 45) • (ā + 5):

A: Option A is Correct Answer. i.e., 207

Q: Set 5. (-3, 4) and (2, 6) A. (2, 8) and (-3, 2) t. 11. (-5, -7) and (1, -2) G. (0, 1) and (-6, -2)…

A: As per guidelines we can solve only three subparts at a time so the first three subparts from left…

Q: 6. S(1, 5), T(10, 7), U(14, 1), V(-3, -1)

A: Given,  6) S(1,5),T(10,7),U(14,1),V(-3,-1) 11) K(2,7),L(6,12),M(13,13),N(9,8) 12)…

Q: Given: X = {2,6,2,7,4,5} Y = (3,2,4,3,1,9}   Calculate: ∑2X

A: Given: X = {2,6,2,7,4,5} Y = (3,2,4,3,1,9} ∑2X=?

Q: b a 1. O g, f, h, e, d, с, b, a, g. 2. О а, b, с, d, е, с, һ, b, f, h, е, f, g, a. 3. О а, b, с, d,…

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Q: Y. b 50 O b= 6.49, a = 109.3, y = 20.7° Ob= 5.49, a = 109.3°, y = 20.7 O b=7.49, a = 20.7°, y =…

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Q: B = {98, -42, 1, 56, 82, 607, 741, 87, -475, 80} C = {0, 475, 485, 87, 9, -412, 90, 651, 584, 89} D…

A: We have given that  Set of A,  B,  C, D, E I want to find union and intersection.

Q: = {1,2,...,100} then H is equal-- {1,2,3,...,1

A: We are entitled to solve one question at a time , please resubmit the other question if you wish to…

Q: The table lists the eight human blood types. It also shows how blood types determine who a person…

A: Given that X'= the set of blood types that that type B- cannot donate blood to.  This means X= the…

Q: Does S={(-3,0,4),(5,-1,2),(1,1,3)} span R3?

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Q: A(6, 0), B(9, 6), C(12, 6) and D(0, 3), E(1, 5), F(2, 5) 7) 10 8 2 4 6 8 10 -2 -10 -8 -6 -4 -2 -4 -8…

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Q: {A, C, D, E, F, G,H,J,K {J,K} {A, G,J, K} SCDER HIY

A: The intersection of math club to beta club is expressed below Math club {A, G, J, K} ∩ Beta club {C,…

Q: Find: 1. MUN a. (4,5,6} b. {6,8} c. (4,5,6,7,8,9} d. {} 2. Μ Ρ {6,8} b. (4} c. {1,2,3,4,5,6,8} d. {}…

A: Given that: U={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}M={4, 5, 6, 8}P={1, 2, 3, 4}N={6, 7, 8, 9}     NOTE: As…

Q: A(I, 3) b) B(-3, 4),

A: Solution

Q: х, — х, + 2х, + 2х, + х, + x, %3D 5 - 2х, + 4x, — 2х, - 4х, - х, - 4x, = -14 4х, + 3x, + 2х, + 3x, —…

A: Given system of equations is…

Q: 3. (-8, -7) and (-1, -1} 21. (2,-8) and (S, -6) 8. (-6, 3) and (5, 6)

A: As per the company rule, we are not supposed to solve only three subparts of a multipart problem.…

Q: 2,- ( 3,7) and 2z=(-a , s), If then 2, + 22 is ? a. (-6,35) C. (1, 35) b. (1,12) d. (-6,12)

A: Solution : Given complex numbers  Z1 = (3 ,7) and Z2 = (-2,5)

Q: f(, у) %3 2 — За? - Зау? + 12гу - 9а - 1. Select one: О (, 1), (0, 3), (1, 2) О (1, 0), (3, 0), (2,…

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Q: = (2,1,0,3), v2 (0,1,5,7), v3 = (0,0,3, –1), v4 = (0,0,0, –4) b) V1

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Q: Can you help me with a ,b, c ,d, e

A: Can you help me with a ,b, c ,d, e

Q: If A × B = {(a, x), (a, y ), (b, x ), (b, y)}, find A and B?

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.