Please prove the first principle component direction v corresponds to the largest eigenvector of the sample covariance matrix: varg max w:||w|≤1 m m (w²x¹ - w²μ)².

Q: Suppose a € Z. Prove that 14|a if and only if 7|a and 2 a. and If

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Q: Find (4t + 1)u(t-1)} e-5(55+4) s² a. b. C. d. O Ob OC Od 3e-s 5² S e $(5s + 1) s² e-5(55-4) 5²

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Q: Solve the following equations using matlab. 1. 2.) z¹+(5-14i)z²-(24+10i)=0

A: Given equation: Objective: To solve the equation and find the roots using MATLAB.

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Q: For what value of m, the vector (m,3,1) a linear combination of e1=(3,2,1) and e2=(2,1,0)  ?

A: The vector  is a linear combination of  and .We have to find the value of .

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A: For first part consider an example which is following :Here  has no solution, but  has many least…

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A: Suppose that  at which .1. Absolute minimum of  is _______.2. Absolute maximum of is _______.

Q: Bill is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal…

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Q: Let K be an extension of a field F. If a and b in K are algebraic over F of degree m and n…

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Q: Given that f(x) = 3x - 4 and g(x) = x² - 2x + 2, find unsimplified AND simplified versions of the…

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Q: John Regan, an employee at Home Depot, made deposits of $740 at the end of each year for 5 years.…

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Q: Determine if the vectors 1-A 5 and are linearly dependent or independent. Also determine if the…

A: Please refer to the solution in next step.

Q: -2 2 -3 3 Let A = 2 2 1 2 2 8 4 2 16 -2 -2 -2 -8 -2 -3 -1 -12 -1 -1 -1 -4 a) Find an orthogonal…

A: We  shall do the first part only, if you want us to solve the second part please upload the question…

Q: Determine constants a,b and c such that the quadrature formula is exact for polynomials of highest…

A: Quadrature is a method in the numerical integration which is used to find the approximation of the…

Q: Solve the equation y"+y=f(t), y(0)= 0, y'(0) = 1 0<t<π/2 f(t)={1 where F(s)=- a.…

A: We have to apply the Laplace transform to solve the given problem.

Q: Consider the second order linear equation with constant coefficients ay" (x) + by (x) + cy(x) = 0…

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Q: 3 (2)) Başlangıç iterasyonu x(0) =0 olmakla Jacobi yöntemi kullanarak aşağıdaki lineer sistemin…

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Q: Find the change-of-coordinate matrix from the basis B 3 2 {CCE]} -1 0 4 -5 8 -2 to the standard…

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Q: Without actually solving the given differential equation, find the maximum radius of convergence R…

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Q: A company will manufacture a tent that will have a square, 15-ft by 15-ft base, 4 vertical walls,…

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Q: Let K and E be the extension of a field F with   [K:F] finite and assume that both K and E are…

A: Given thatLet K and E be the extension of a field F with [K:F] finite and assume that both K and E…

Q: improper double integral to find the volume of the indicated solid. z = e-lx+y\/8 05x< osyco x 86420…

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Q: 2. Suppose x € Z. Then x is odd if and only if 3x + 6 is odd. 3 Given a integer ther 3 if and nly…

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Q: Determine constants a,b and c such that the quadrature formula is exact for polynomials of highest…

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Q: 10x, + 2x₂-x3=27 -3x, -6x₂ + 2x3 = -61.5 x₁ + x₂ + SX3 = -21.5

A: The system of equations We have to solve using Jacobi method.

Q: Aşağıdaki lineer sistemi LU Faktorizasyonu yöntemi ile çözerek çözümün ilk bileşenini (₁) ve U…

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Q: If R is a ring and S is a subring of R, then S is   an R-module (module over R).

A: R is ring and S is a subring of R Claim : S is an R -module (module over R)

Q: Determine constants a,b and c such that the quadrature formula is exact for polynomials of highest…

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Q: Mümkün olan en yüksek dereceden polinomlar için aşağıdaki kareleme formülünü kesin eşitliğe…

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Q: A radio station tower was built in two sections. From a point 82 feet from the base of the tower,…

A: Please refer to the solution in next step.

Q: 6. Prove the result in Example 10. Use the fact that if xy = 0, then x = 0 or y = 0.

A: Given:A list of distinct primes .Objective:To prove this above by using the fact that if then  or .

Q: Write an equational-style proof for the following theorem schema (r→ (pVg)) + ((rv (pvq)) → (p \q))

A: Write down the given statement and the goalGiven:Goal:

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Q: i) f(x) = x lnx mg

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Q: solve the IVP 54y"+36y'+6y=0, y(0)=1, y'(0)=1

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Q: 4) S(n) = 6 +5+6+7+8+ ... + (n - k) -1 + 2 + 3 + ... + (n-K) - 1-2-3-4

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Q: Let R be the field of real numbers, show  that the set W={(x,2y,3z):x,y,z∈R}  is a subspace of a…

A: The given set .We have to show that is a subspace of .

Q: Let W be the subspace in R4 that is described by the solutions to the following system of linear…

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Q: Determine if the vectors 0 3 HOO -4 2 3 4 O 1 O -5 and are linearly dependent or independent. Also…

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Q: -2 -3 2 8 2 16 -8 -2 -3 -1 -12 -4 2 3 A = 2 -2 -2 -2 2 1 -1 -1 -1 2477 T a) Find an orthogonal basis…

A: It is very lengthy question so I'm unable to do in limited time so We  shall do the first part only,…

Q: Aşağıdaki lineer sistem için Gauss - Seidel yonteminin T, matrisinin spectral yarıçapını bulunuz:…

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Q: For each positive integer n, there exists an irreducible  polynomial f(x) of degree n over…

A: The statement you mentioned is a result known as the Existence of Irreducible Polynomials over a…

Q: 4.2. (a) How many n-tuples (x1,x2,...,xn) are there if the coordinates are required to be integers…

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