Set Operations Let U = { 0,1,2,3,4,5,6,7,8,9 }  A = { 1,2,3 }  B ={ 1,3,5 }  C = { 2,4,6 } Determine P (A)  Determine A x B Determine B c Determine A - B  Determine A ⊕ B

Q: Let U=(2,-1,0,-3) ,V=(1,-1,-1,3) and W=(1,3,-2,2) then -4U+2V- 2W is: * O skip O (-8 -4 2 14) O (-8…

A: U = (2,-1,0,-3) V = (1,-1,-1,3) W = (1,3,-2,2) find -4U + 2V -2W = ? -4(2,-1,0,-3) + 2(1,-1,-1,3) -…

Q: If a = (4, 0, 4), b = (3, 4,-4), and c = (0, 4, 5), show that a x (b x c) = (a x b) x c. 60i + 96j -…

A: Solution: Step-1                         Given if a = 4, 0, 4 ,b = 3, 4, -4, and c = 0, 4, 5, show…

Q: [-3 -2 Let A= 0 -6 and b = 14 3 2 6 Determine whether b is in the column space of A.

A: If b is in column space of A then Rank (A:b)=Rank(A).

Q: TUVWX ~ EFGHD. Find EF and VW.

A:

Q: 1 40 A-1 4 3 1-59 A

A: We will find the inverse of the matrix.

Q: Let A = {1,2,3,..., 10}, B = {2,3,6,8), and C= {3, 5, 4, 8, 2}. Find the following:

A:

Q: ble, then enter the rule that is applied to each ro Input 300 400 500 600 Output 2700 3600 4500 5400…

A: given data  input output 300 2700 400 3600 500 4500 600 5400 200 1800

Q: Find u x v, v x u, and v x v. u = (2, -9, –1) v = (9, -2, -6) (a) ux v (b) v xu (c) v x v V

A: We need to find cross product.

Q: Determine values of a and b. 4 3 x 3 1 + -4 -5 2а -4 a 13 15 %D -2 7 -7 -11 16 a = 3, b = 3 O a =…

A:

Q: 5) Let 0 H 1 0 Can w be written as a linear combination of V1, V2, V3, and v4? V₁ = 2 V₂ = 2 3 1 and…

A:

Q: (2) Write v as a lincar combination of u₁, U₂, U3 if possible, where U₁ = (2,3,5), u₂ = (1, 2, 4),…

A: Given that,  V=(10, 1,4)  u1=(2, 3,5), u2=(1, 2,4) , u3=(-2, 2,3)  To find : a, b, c such that…

Q: 2. Let A, B and C be three sets such that: Set A = {2, 4, 6, 8, 10, 12), set B = {3, 6, 9, 12, 15}…

A: It is given that  A = {2,4,6,8,10,12}, B = {3,6,9,12,15}, C = {1,4,7,10,13,16} NOTE : Since you have…

Q: Let A= {2, 4, 6}, B={2, 6}, C={4, 6} and D={4, 6, 8}.

A:

Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2,-5, -3) (a) ux v (b) vxu (c) vxv

A: given vectors

Q: Find u x v, v x u, and v x v. u = (3, -8, -3) (6, -6, -7) V = (a) u x v (b) v x u (c) v x v

A:

Q: Given u = (10, 9) and v = (5, - 2), find v-u. O (-10, – 3) O (-5, - 2) O (-15, – 8) O (-5, – 11) O…

A: Givenu=(10, 9)v= (5 ,-2)

Q: Cal 3 HW 11.4 Q4

A: Step 1: Step 2: Step 3: Step 4:

Q: Let ū = (2,3) and i = (5, 2). Find ū . Select the correct answer below: O (-3, 1) O (7, 5) O (3, –1)…

A:

Q: Find u x v, v x u, and v x v. | = (−1, 5, 4) v = (-5, -4, -7)

A:

Q: Let u = (1, 2, –4), v = (-5, 3, -7), and w = (-1,4, 2). Perform the operation u. Type your answer...…

A:

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

A: Given:-u→=<3, -4, -10> andv→=<-7, -2,  0>

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). - 2ü + 20 (-8,-12 - 20)

A: Given :-  u=<3,-4,-10>  v=<-7,-2,0>  To find:-  2u+2v

Q: Let a = [1, -3, 5], b = [4, 0, 8], c = [-2, 9, 1]. Find: |a + c² + |a − c|² - 2(|a|² + |c|²)

A:

Q: If z,,z,€C then Zz=Z2 OZi+Z2=Z,+z2 OZi+z2=0 Z,Z2=0=Z,=0 or zz=0

A: 2nd and 4th options are correct.

Q: Find the adjoint of A (1 2 4 A =3 4 5 2 -2 2

A:

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: V. Let u¯= (-7, –2) and v= (-7, -1). Find u Select the correct answer below: O (0, 1) O (14,3) O (0,…

A: Given u→=-7, -2 and v→=-7, -1

Q: Find Jul, Ivl, 12u[, , lu + vl, lu - vl, and Jul - Ivl. u - (1, -4), v= (-10, –10)

A:

Q: Find 3 u, 3v, v - u, and 2u + 5v. u = (4, 9), v = (3, –4)

A:

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

A: The solution is shown below-

Q: Let â = (2,0, –3), %3D b = ( and -4, –7,1) c = (1,1,–1). Find

A: The given vectors are a⇀=2, 0, -3, b⇀=-4, -7, 1  and  c⇀=1, 1, -1.

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: If v = (3, –1, 1) and w = (-2, –2, –2) , what is v · w ? -10 O 10

A: v=3i^-1j^+1k^   w=-2i^-2j^-2k^

Q: 4E + B e SEppose - and A-(8 then %3D a3 Pind ai/a2/a3, au And find the value of B

A:

Q: Let A = (c, a, t J, B = {f, 0, x). Find A x B and B X A. AxB= (Type an ordered pair. Use a comma to…

A:

Q: Let A = {h,1,o}, B = {7,8), C = {7}. AXBXC = { CXBXA = { BXBXB={

A:

Q: Find u x v, v x u, and v x v.

A:

Q: 3 2uv 2uv

A: Definition used -        We know -                          a0=1aman=am-n

Q: MODE =

A: Mode is defined as that value which has the highest frequency.  In other words , mode is that value…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.