A matrix A E M(3, R) that has as eigenvalues 1, -1, -1 associated respectively to the eigenvectors (50, 50, −50), (0,16,16) and (24,0, -24) corresponds to?

Q: Question 1. 1. If p is prime and n> 1, then (p") is a primary, but not a prime ideal of Z. 2. Obtain…

A: (1) It is given that, p is prime and n>1,  then we have to show that  (pn) is a primary ideal but…

Q: Determine the one dimensional DFT for the following sequence x(n)= { 0,\ / 7 / l }

A: Sol:- Given Sequence :- xn=0,1,7,1One Dimension DFT  is given by Xw=11111-j-1j1-11-11j-1-j0171

Q: 2) 8 Š X.Inx (1+x²)³ dx Calculate the generalized integral.

A: To evaluate: The generalized integral, ∫0∞xlnx1+x23dx

Q: y" + 3y' + 2y = 8(† — 5) + U₁0(t); y(0) = 0, y'(0) = 1/2

A: Solution :-

Q: Question 19 Suppose that A and B are n x n matrices. If A and B are similar ma OdA= P¹BP. for all…

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Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (B) 2y³ + 2x²…

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Q: 8. Let A be an m x n matrix. Prove that if n is an odd number, then rank(A) = nullity(A).

A: Rank nullity Theorem : Nullity (A) + Rank(A)=Dim (Domain) =n

Q: What is the parent function of y = ○y=x³ y=x² − 3/3 (x + 2) (x − 8)?

A: y=-23x+2(x-8) we have to find its parent function

Q: The matrix A = " 1 0 0 2 # is a linear map from R 2 to R 2 . Draw the modified shape of the circle x…

A: The matrix A=1002 is a linear map from ℝ2 to ℝ2 . To Draw: The modified shape of the circle x2+y2=1…

Q: Verify that the given functions y₁(t) = t and y₂(t) = test satisfy the corresponding homogeneous…

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Q: 5° B 7 Note: Triangle may not be drawn to scale. Given the triangle above, find the following: Round…

A: For the given proble of the right angle triangle values of B,c and b are as follows  B= 85degree…

Q: Answer the questions on the following mathematical programming problem: max x₁x2 subject to 2x₁ + x₂…

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Q: Collatate the thiple integrals: SSS z dv E where is the domain banded by the parabol = = 3(x² ty²)…

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Q: divergent: Use the integral test to determine if the series is convergent or 1 Z. Σ n=3 n ln(n)8…

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Q: 4. The set W of polynomials of the form a² + α₁x + α₂x² + 3x³ + α4x4, where a₁ = a₂ and a₁ = az is a…

A: 4. Given that the set W is of the polynomials a0+a1 x+a2 x2+a3 x3+a4 x4 where a0=a2 and a1=a3 is a…

Q: The table below gives the result of an observation, is the observed temperature in degrees…

A: Introduction: While extrapolation refers to the process of calculating the value of performance…

Q: 4. The set W of polynomials of the form ao + α₁x + a₂x² + 3x³ + a₁x¹, where ao = a₂ and a₁ = a3 is a…

A: Set W is polynomial and W is subspace of P4. We find number of arbitrary constant in set W.

Q: The equation of a line in standard form is ax + by = c, wherein both a and b cannot be zero, and a,…

A: We will use c++ to code this problem

Q: b 480 B a Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

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Q: Use the method of undetermined coefficients to solve the initial value problem. y" + 4y = 1² + 4e¹',…

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Q: please how can we get A, B and a,b A = 4/ f(x, t) = 1 (4nDt)1/2 exp Ln B = { (x-xo)²) 4Dt F(x) =…

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Q: Determine whether or not [13]; is in span { }

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Q: 3) ( series - Use the integral test to determine if the is convergent or divergent: M 1 n=7n-In(n)³

A: This is a question of series.

Q: Dependencies in critical path analysis is/are The tasks that are required to complete a project. The…

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Q: We want to find partial fraction decomposition of a rational function whose denominator is given…

A: Sol: Since Denominator of partial fraction is given So function is like 1x2-4x+3x2+92…

Q: Determine whether or not 416163 is in span {

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Q: U = e¯ª (x sin y − y cos y). -

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Q: Question 2 [" Note: please I need solutions by handwriting a. I Find the critical points of the…

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Q: Problem 1. Determine a and b such that the solution set of the system 21+ ax₂ = -1 3x12x2 = b (a) is…

A: A system of linear equation Ax=b has  (i) No solution if Rank of [A:b]>Rank of A (ii) Unique…

Q: Which adjacency matrix represents graph 67 O a Od POHOO PHO POHOO Ho 4 T 1 1 1 0 PTLOO 1 0 T 0 T 1 0…

A: We need to determine the adjacency matrix for the given graph.

Q: Use the procedures developed in this chapter to find the general solution of the differential…

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Q: 2- The circle ² + (y-2a)² = 4a² is rotated about the line y = -1 where a > 0. A torus is obtained…

A: Given- The circle x2 + y - 2a2 = 4a2 is rotated about the line y = -1 where a > 0. A torus is…

Q: Evaluate the Taylor Series for f(x) = x³ - 10x² +6 at x = 3.

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Q: QUESTION 4 The following equation is over R: 2x+3y+mz = k -x-5y+3z=-2m x-9y+5z=0 When m, k are…

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Q: For each transformation below, find the closed form of the transformation.. 1) Let T be a linear…

A: We find required closed form of T.

Q: 2) Within the interval of convergence, a function formula and its corresponding power series are…

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Q: k. Brain weight A grams was modeled to be a function of body weight B grams for a mouse, according…

A: We have A=0.015 B13 Given mouse's body weight is 200 grams, so, B=200 We need to find dAdB when…

Q: Let V be a nonzero finite dimensional vector space and the vectors listed below belong to V. State…

A: We know that the dimension of a vector space is the number of vectors in the basis of V and the…

Q: A series circuit has a capacitor of 0.128. 10° F and an indu 1.25 H. If the initial charge on the…

A: From LC circuit and Kirchhoff's Law we know d2idt2+1LCi=0 given capacitor C=0.128×10-6F and inductor…

Q: Given the ODE shown below: 3 dy dx Using a step size of h = 0.3, find the approximate value of…

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Q: Solve the recurrence relation, given: • ao = 3 . • a₁ = 4 . • an = 5an-1-6an-2 Remember: • The…

A: Given recurrence relation is a0=3,  a1=4,  an=5 an-1-6 an-2   To Solve: the above recurrence…

Q: Let S be the surface z = 9 − x² − y² above the xy plane. Use Stokes's Theorem to compute [[ curt F…

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Q: Determine a function that will best match the following points: (1/2, 0), (2 ½, -2), (4 ½, 0), (7 ½,…

A: We find the Lagrange interpolating polynomial. We have: x x0=12 x1=212=52 x2=412=92 x3=712=152…

Q: Prove that function f: Z x Z -> Z x Z defined by formula: f(m, n) = (4m + 3n, 3m +2n) is bijective.…

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Q: a) f, if any. Let f(x, y) = 2x² + 2y² - 3xy - 2. Find the local maximum and minimum values and…

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Q: Let A: (4 -5 -3) and 8+ (-65) A= B- 2 2 8 Evaluate each of the following expressions, if possible.…

A: This a question on matrix summation and multiplication. The question is elaborated in the solution

Q: If you roll a 10 sided die 8 times, what is the probability that a 9 will be rolled 2 times? Round…

A: This a binomial distribution. The problem is solved using the probability distribution function of…

Q: Find the general solution of the given differential equation using variation of parameters. П y" +…

A: We have to find the general solution of the given differential equation using variation of…

Q: Given the demand function p = 950e 19/90, find the value for the elasticity of demand, n. when q…

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Q: For the time-invariant system x' = Ax for which Ø(t) = eªt where: a. O b. C. d. a. Ø(t) = [Ø(t)]−¹…

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