Question 12 Given u=21+31 and V51+2), ting the projection of u onto v.

Q: KLM is a kite. If mZJKN = 28° and mZKLM = 103°, find mZ JML. * %3D %3D K J M

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Q: 1. Find a non zero unit vecor ôî that is orthogonal to u= (1,2,1) and Uz= (2,5,4) in R³.

A: Let's find non zero unit vector.

Q: If A = x a, – zy a,, evaluate § A · dī around the path L defined by 0 < x < 2,0 < y < 1 as shown in…

A: Stroke's theorem:         It is also known as Generalized stroke's theorem. It states that the…

Q: Let →a=⟨3,1⟩ and →b=⟨1,0⟩. Find the projection of →b onto →a. proj→a →b=

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Q: Question 10 -5 3. and y = Let u = then y are orthogonal provided a and %3D 12 -5 -2

A: a= -3. Fourth option is correct.

Q: det(A) Show that det(AB-') = %3D det(B)

A: Consider, Let A and B be the two n×n matrix, Now Consider, detAB-1 We know that the theorem, Let A…

Q: (c) Compute the distance in AU between the points (x,0) = (1.24,0) and (1.24, 7)

A: Given: The coordinate transformation, x=Rsinhχsinθcosϕ y=Rsinhχsinθsinϕ z=Rcoshχcosθ The plane…

Q: QUESTION 10 then [x] %3D be 2 bases of R2. If [x] 8 %3D Let 3= and 8 =

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Q: QUESTION 3 Calculate OF.dr if F= and C is the triangle oriented counterclockwise with vertices at…

A: please see the next step for solution

Q: 29. Calculate /| (xy +e*)ds, where S is the triangle in Figure 18 with vertices (0,0, 3), (1,0, 2),…

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Q: [2 Lo 2. and defined T: R² → R³,by T(X) = AX. Let A Find the images under T of u = |E|, and v =

A: Given a linear transformation T:R2→R3 by T(X)=AX where A= 2002

Q: 3 Compute the projection of i on ū = 1 proj, v =

A: The given vectors,v→=30-3  ,  u→=31-1

Q: UE Mn X, y E C" are If orthogonal if and only if Ux and Uy are orthogonal. is unitary show that

A: Given  is a unitary matrix, where Note a  matrix  is unitary if its conjugate transpose  is its…

Q: Exercise 2.8. Verify that q eAt-d satisfies the "martingale property" %3D u-d Sug + Sa(1 – q) =…

A: Given,  q= erΔt - du - d Consider ,  su q + sd (1-q) = su erΔt - du-d +sd1-erΔt - du - d= su erΔt -…

Q: Given the bases B = {u1, u2} and B' = {u'1, u'2} for R?, where and u'1= The transition mat rix Pg-B'…

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Q: Find the orthogonal projection of y onto u 16 8. 48 OA. 32 4 OB. OC. OD. 32 - 16

A: We have to find orthogonal projection of y onto u

Q: Question 7. Determine, which of the following are inner products on R?. Justify your answer. 1) (u,…

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Q: The transfomation takes points from the xy plane to v= 3x Jx=? that takes points from the uv plar V=…

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Q: If the i, j entry of A is i times j, show that det A = 0. (Exception when A = [ 1 ] .)

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Q: Consider the following. u = −7i - 2j - 4k, V = 4j + 4k (a) Find the projection of u onto v.

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Q: Find the orthogonal projection of y onto u. - 8 4 y = u: 6. 12 O A. 1 4 3 4 О В. 4 12 Ос. 16 48 O D.…

A: We have to find orthogonal projection of y on u.

Q: Problem 28. Suppose u, v E V and ||u|| = ||v|| = 1 with = 1. Prove %3D that u = v.

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Q: 1. Find the projection of ū = 6i + 3j + 2k onto v =i-2j-2k. %3D

A: Since you have asked multiple questions, we will solve the first question for you. To get the…

Q: Find the projection ofv onto u

A: We have given two vectors v=-24 and u=-11 We have to find the projection of the vector v onto u.

Q: 1. In the figure, E is the midpoint of (NS)¯and LSzZN. Which postulate justifies that APES = A MEN?…

A: Introduction: When two parallel lines are intersected by a transversal, the pair of angles formed on…

Q: tnd the kes reetor projection of anto r if

A: Given : u→=5i→+2j→ and v→=6i→-3j→

Q: If L is a line through 0 and if f is the orthogonal projection of y onto L, then || F|| gives the…

A: Option B is correct.

Q: If the point (p, q) , (m, n) and(p-m, q-n) are collinear show that pn = qm

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Q: Part 1 of 3 Complete the proof. Given: RS UT, RT US Prove: ARST AUTS M W V ..... Statements Reasons…

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Q: Calculate / Ss (4xy + e- )dS, where S is the triangle in Figure 1 with vertices (0, 0, 3), (1,0, 2)…

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Q: -5 1 Let y = -2 U2 = = In 4 -1 Compute the distance d from y to the plane in R spanned by uj and u2.…

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Q: Question 9 If u = (2 + i,1 + i,0) , then norm of u i.e, llull = v7. True False

A: given u=(2+i,1+i,0)

Q: 6. Let y = 9 , U1 , U2 1 |3| L10] 1 Compute the orthogonal projection of y onto W = Span{u1, u2}.…

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Q: (a) Solve the following Goursat problem for u(x,t): Utt = Uxx +4cos 2t, (t > 0, -t <x<t), u(t,t)…

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Q: The orthogonal projection of v = 10i on b = -3i + jis <

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Q: 1. In R2, what is the dual cone V* if the primal cone V is V %3D {y1 (-3, -4) + у2 (1, -3) |у »3 0}

A: Given: V={y1(-3,4)+y2(1,-3)|y&gt;=0}

Q: N is the centroid of triangle HIJ. If KN=9, IM=15 and LN=5. Find KJ K. N/

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Q: If Re denotes a rotation about the origin through the angle e in R?, then Ra ° Rg =Ra+f. Select one:…

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Q: 1. In R2, what is the dual cone V* if the primal cone V is V = {y1 (-3, -4) + y2 (1, -3) | y >= 0}

A: In R2, what is the dual cone V* if the primal cone V is V = {y1 (-3, -4) + y2 (1, -3) I y &gt;= 0}

Q: Exercise 5 Consider the following triangle. V- proju(v) 1. Prove that the area of this triangle is…

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Q: (5,1,2) V= (4,-3.1) is ON -bas in RB V to U Given Qud Find the projection W of Determine the engle a…

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Q: i) Find the projection of ū on i and the projection of ī on ū.

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Q: QUESTION 2 Ustng De Molure's Theorem, evaluate 12 3 -itl ard leave four angwer in the form Z=a+ ib

A: Topic:- complex number

Q: Question 9. Let A E Mn,n. Prove that A is symmetric if and only if Ax · y = A"x · y for all x, y E…

A: See the solution it is done step by step.

Q: Question 34: let 1R be the set of 1eal numbers and let ()SHow that the maping T:IRKG>1R. defined by…

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Q: Let →a=⟨5,−4⟩ and →b=⟨4,3⟩ Find the projection of →b onto →a proj→a →b

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Q: 2 Draw the projection of b onto a and also compute it from p=za: |3D COs O sin 0 (a) b = and %3D a =…

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Q: Let V =(1,2,3,4),V=(0,2,t,3) and w=(!,!,,1) 1. Find t so that u t v and w are to each other. or…

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Q: Question 2. a) Is there a linear map T :V → W, where dim V = 3, dim W = 4, rank T = 2, and dim ker T…

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Q: Question 13 Find the cosine of the ngle betwoon the vectons ut,1.0 and v0,1,1) with respect to the…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.