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Q: res. Q.8 (1.04)

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Q: Find (a) ∣A∣, (b) ∣B∣, (c) A + B, and (d) ∣A + B∣. Then verify that ∣A∣ + ∣B∣ ≠ ∣A + B∣.

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A: Let (x1, x2, x3, ..., xn) and (y1, y2, y3,..., yn) be finite sequence of numbers of the same length,…

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A: Given A→=B→

Q: Find Jul, Ivl, 12ul, , lu + vl, lu - vl, and lul - Ivl. u = 31 + j, v = 5i - 2j Jul = |vl = |2u| lu…

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Q: B (m,n) =B (n,m) %3D ulgn O صواب

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Q: 1- P" = r! C

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Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

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Q: Find Jul, Ivl, 12u|, , lu + vl, Ju – vl, and Jul - Ivl. 2i + j, v = 3i – 5j u =

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Q: If a, b e Z, then a2 – 4b – 2 ± 0

A: We need to prove that if a,b∈Z, then a2-4b-2≠0 We prove the result by method of contradiction.

Q: and B =

A: (2/5,1/5,1/2)

Q: If A and B are independent, and the P(A) = 0.35 and P(B) = 0.45 find: a) P(A ∩ B)…

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Q: Find all values of x so that u · u = 50, where

A: Given u·u=x34.

Q: If P(A and B) P(A) . P(B) then A and E %3D are

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Q: + Let A = B = 1 4 Then find: AB & BA - 2

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Q: Find |A|, |B|, AB, and |AB|. Then verify that |A||B| = |AB|. -1 0 0 0 3 0 -1 4 1 A = 1 0 1 В - 0 1 0…

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Q: We are given that P(A) = 0.55, P(B) = 0.35, and P(A∪B) = 0.75. Determine  P(Ac ) and P(A∩B).

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Q: Given that A and B are independent with P(A ∪ B) = 0.8 and P(B c ) = 0.3, find P(A).

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Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A: a). b).

Q: Find |A|, |B|, AB, and |AB|. Then verify that |A||B| = |AB|. 7 8 1 A = 8 7 B = 6 (a) |A| (b) |B| (c)…

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Q: Find A and C

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Q: ¡ (ew - 3) dw? O ew - 3w+C O - ew + 3W + C O -ew - 3W + C O ew - 3+ C

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Q: If P(A) = 0.4 and P(B) = 0.3, Find P(A or B) if A and B are independent.

A: P(A) = 0.4 P(B) = 0.3

Q: Ted the of eae hee an t a

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Q: Is X and Y are independent Your answer

A: X and Y will be independent if  E(XY)= E(X)*E(Y)  We know that, E(X)= summation (x*p(x,y)) Similarly…

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A: Answer and explanation is given below...

Q: find c and d.

A: c)The given function is,

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Q: (a) fog (b) gof (c) fof

A: " Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: If A and B are independent and the P(A|B) = 0.4 and P(Bc) = 0.7. Find the P(A ∪ B).

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Q: Find (A u B) o B'.

A: Here use basic of venn diagram

Q: Find JA|, IB|, A + B, and |A + BỊ. Then verify that |A| + |B| # |A + B|. 15 0 1 -1 A = 1 -1 0 B = 5…

A: topic - determinant and matrices

Q: Ex Find lull, , u.v, and d(4,v). U = (-1,1) , v= (7, 9) O d(u, v)

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Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

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Q: dw dw and u ди dv

A: Given,

Q: dæ Evaluate J ?(2tz?)

A: We have to evaluate  ∫dxx2 2+x2.   We know ∫xn dx = xn+1n+1+C ∫1x2+a2dx = 1atan-1xa+C

Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A: Given matrix are A=012543768,B=2121-1003-2 (a)…

Q: Let A=[t, t?,0]and B=[1 , t² , 0] and C=[2,t³ , 1] find (ABC)`

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Q: iR wa fcu) and メッ show that u ニ メャッ? 2 X Jw ニ0

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Q: What’s the missing variables for u and v

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Q: St) = r°+x}

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Q: Find (a) ∣A∣, (b) ∣B∣, (c) A + B, and (d) ∣A + B∣. Then verify that ∣A∣ + ∣B∣ ≠ ∣A + B∣.

A: Given A=1-210 and B=3-200 (a) We have to find A A=1-210=1×0--2×1=0+2=2 (b) B=3-200=3×0--2×0=0-0=0

Q: Find x, y, and z: 14 14 11. 10 y 12 10 12

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Q: Define a * b = 3a + b, where a, b E R. Find the following: 1. 8 * 3 2. 3 * 8 1*2 3. 3*4

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Q: Let 1 A = 1 3 2, Find A- in terms of c.

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Q: QI/ If F = xi+yj+zk find the divF.

A: By see this solution