d) Show that whether 0 = Y is sufficient or not. max

Q: Let A be a 6 x 6 matrix with characteristic polynomial det(AI – A) = (1 – 2)*(1 – 4)². Without…

A: Given that, A is a 6×6 matrix with characteristic polynomial detλI-A=λ-24λ-42

Q: Scores on an entrance examination to a particular university have a mean of 105 and standard…

A: given data μ=105σ=10x=113z score=?

Q: A poll is planned to determine what proportion of all students favor an increase in fees to support…

A: Given that: A poll is planned to determine the proportion of students who favor an increase in fees…

Q: A random sample of 37 adults had a sample mean height of 168 cms with a sample standard deviation of…

A: Here, x¯=168, s=10, and n=37.

Q: Let F(1, y, z) = xe"i+(z – e")j – ryk and S be the ellipsoid z² + 2y² + 3z² = 4. (a) Which of the…

A: a)  Divergence theorem

Q: Suppose that Ax = b is a consistent linear system, and that p is a solution of it. Prove that every…

A: To prove: (a) x = p + z where z ∈ null(A) (b) (AB)T = BTAT

Q: Use polar coordinates to calculate e-(z²+y²) dydx. roo Express -(2²+y²) dydx in terms of dr, and…

A: We will find out all the required values.

Q: Consider the following two lines in R: {(t, 1 + 2t, 2 – 2t)} and {(1+4s, 3 – s, s)}. a) The two…

A:

Q: What is the degree of exactness m of the quadrature rule Q[ƒ; 0, 1] = ½ ƒ(;²(1 − 3)) + ½ƒ({(1 + ))?…

A: we check  by hard and trial method.  the desired equation to check up is ∫01f(x)dx= 12f(12(1-13))+…

Q: If ƒ : [0, 1] → R is a contraction, then it has a unique fixed point. Select one: O a. False, here…

A: The contraction mapping theorem states that every contraction mapping on a complete metric space…

Q: 5. Based on past experience a delivery company's trucks will average 1.3 parking tickets per truck…

A: Given that: Population mean, μ=1.3 Population standard deviation, σ=0.7

Q: The matrix [2v2 A = 2/2 [3v2 -3/2] has a singular value decomposition A = U E VT where U = and 1 1…

A: Matrix is a mathematical object containing numbers arranged in rows and columns. The order of a…

Q: Consider the function f : R2 → R given by f(x, y) = xy³ + ye*-2. (a) For each of the following…

A:

Q: Consider the matrices A1 A2 A, - || Let S = {A1, A2, A3 }. Which one of the following statements is…

A:

Q: (d) Compute and interpret the z-score for each of the six entertainment expenses. (Round z-score…

A: Z = x-μσ (Here in this case consider the estimate of mean and standard deviation)

Q: 3. Consider the matrix A and its echelon form U ~ A given by [2 6 12 8 A = |7 2 4 va 9. 9 7 14 16 [1…

A:

Q: Let f(r, y) = r² – 2ry+2y² – x + 3. %3D (a) Determine all the critical points of f. (b) Determine…

A: for critical points we take gradient of the function equal to 0 a function is convex if its hessian…

Q: The matrix has a singular value decomposition A = UEVT where and and The 2,1 entry of U is (U)21 =…

A:

Q: Suppose I roll a fair dice, with outcomes 1, 2, 3, 4, 5, 6. Consider the following events: E = {2,…

A: Introduction: It is required to choose the correct option.

Q: 8. Find the surface area of the part of the sphere x2 + y? + 22 : = 4z that lies inside the…

A: The solution is given as

Q: (1) Q1 MULTIPLE CHOICE One answer only Let f [0, ∞)→ R be continuous. Which of the following…

A: We show that option b is the correct choice rest are all false.

Q: 2. Match each of the following vector fields with its respective plot by filling in the blanks. (x²…

A: Given: Vector fields 1) x2-y2-4, 2xy 2) y2, x2 3) x1-y, y(x-1) 4) x, 3y

Q: 8. (a) Write down the standard bases for M22 and Rª. (b) From your answer to (a), explain why M22…

A: "Since you have posted a question with multisubparts, we will solve first  3 parts for you. To get…

Q: . Consider the vector field F = (yze*z, etz , xye"=). (a) Show that F is conservative. (b) Find a…

A:

Q: The matrix has a singular value decomposition A = U EVT where and and The 2,2 entry of the…

A: The Moore-Penrose pseudoinverse A+A^+ of a matrix AA is a generalization of its inverse A−1A^{-1}.…

Q: Question: A test of English grammar was given to year 10 students in three different schools in…

A: It is given that 10 students in three different schools in different region were given test of…

Q: Consider the linear transformation T : R? → R defined by Т(х, у) —D (4х + 3у, —х + бу, —5х + 9у) If…

A: The given linear transformation T:ℝ2→ℝ3 defined by Tx,y=4x+3y, -x+6y, -5x+9y. If A is the standard…

Q: Interpret the confidence interval. A credit union took a random sample of 40 accounts and yielded…

A: Given information- Sample size, n = 40 Confidence level = 90% = 0.90 We have given the confidence…

Q: Let I be the 5 × 5 identity matrix. What is the algebraic multiplicity of its eigenvalue? Answer:

A:

Q: 6. Let E be the region of R3 inside the intersection of the sphere centered on the origin of radius…

A:

Q: If K is a compact set and (xn)n is a sequence in K, then (xn)n is a Cauchy sequence. a. False, and…

A:

Q: Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi.…

A: Given information: Each front tire on a particular type of vehicle is supposed to be filled to a…

Q: hello I need help with question d) and e)

A: (d). Sum of all the processing time = 665 seconds Capacity of flow rate of the cell will be =3600665…

Q: sintx² + y?) • l + Il -x-y

A: 1. Given             sin(x2+y2)

Q: Question: Which of the following is FALSE regarding the correlation coefficient, p? A: p is scale…

A: The objective is to identify the statement that is False about the correlation coefficient ρ.

Q: Let S be the surface in R' that is the part of the ellipsoid 2x2 + y² + z? = 2 satisfying y > 1.…

A: In this question, we use the div.  theorem to evaluate the surface integral. given that…

Q: Let R be the triangular region of the plane with vertices (0,0), (2, 1), and (1,2). Consider the…

A:

Q: Let V be a vector space, and let v e V with v + 0. Let S = {Ov, 1v, 2v, 3v, 4v, 5v}. Let W span(S).…

A: dim(W)= 1.

Q: Which one of the following probabilities is a "cumulative" probability?

A:

Q: Let V3 1 A = V2 1 1 V3 1 1 1 V2 V3 If A is orthogonal, what must x equal? Answer:

A:

Q: (a) Show that the matrix P is regular. (b) If x(0) = (1,0) what is x(1)? (c) Show that vị = (1, 1)…

A: A Stochastic matrix is also a regular matrix . If has only non-zero positive entries.