The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general solution of x' = Ax. 2 0 0 0 -5 -3 -1 -1 A = 0 3 0 0 0-5 -2 x(t) = www
Q: Which of the following is NOT a circuit in the graph? B E F D CC OABFEA OBFDCB O None of the Above
A:
Q: 6. In the figure, AB // CD. The straight line EF cuts AB and CD at G and H respectively. Find x.…
A: Given: In the figure below AB|| CD. The straight line EF cuts AB and CD at G and H respectively. To…
Q: 3. Find the fixed point(s) of f: [1, ∞)→→ [2, ∞) defined by f(x) = √²+x.
A: 3) To find: fixed points of f:[1,∞)→[2,∞) defined as f(x)=x2+x.
Q: Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c, where a,b…
A:
Q: [[ (x + 1)" dx dy D
A:
Q: The board of directors of SSS Inc., have de
A: Given that the board of directors of SSS Inc. has declared a dividend of P18,000,000. The company…
Q: 2) t (y-1) dt +y(t+1)dly=0 31 хчуу! -2y =. 41 yan- x lnn dy ==
A:
Q: Question 3: Consider the following dynamical interaction of giving-up smoking model with constant…
A: Given: The dynamical interaction of giving-up smoking model with constant birth rate λ for the…
Q: The value of B in the equation 3x+9y=1
A: Given: 3x+9y=1 To find: Value of b in given equation.
Q: 2. The value of ¹₁ a) a O b O C O d [Tn (x)]² √1-x² dx = ..., for each Chebyshev polynomial Tn (x),…
A: Here is the answer in the image below.
Q: (2) Explain why the rational numbers are those having periodic representation or with- out infinite…
A:
Q: Use chain rule to differentiate the following 1 y = sec+ (√x+;
A: To find the differentiation using chain rule :-
Q: 1) Write down the first 5 terms of each of the following sequences: {bn}a_1, where bn = nth digit of…
A:
Q: Use Green's Theorem to evaluate: [F F.n ds where F =(√x + 5y, 3x + 5y) and C' is the boundary of the…
A:
Q: Let G be the simple graph on the vertex set V(G) = {a, b, c, d, e, f} with adjacency matrix: 011101…
A:
Q: Change the order of integration (show all steps, including graph) Sax fay+fdx fay 0 -10
A:
Q: 3. How would you find the total volume of the discs shown in the shape below (assume each disc is…
A: The volume of a cylinder is given by V=πr2h Here, r is the radius and h is the height. Now, the area…
Q: 1. The LP problem has an unbounded feasible region A. True B.False 2. How many corner points are…
A:
Q: The heat capacity of a gas is tabulated at series of temperatures: TCO 20 50 80 110 Cp J/mol.C 28.95…
A: We have to calculate the values of heat capacity corresponding to 28 C° and 93 C° using the newton…
Q: a. Find the inverse of 43 (mod 256) b. Solve the linear congruence 43x=7(mod 256)
A:
Q: Write the number 56 as a Mayan numeral
A:
Q: 1) Solve for y" + (cos x)y = 0, given that cos x can be represented 1 2! + + 4! as a series of .…
A: Solution : Given, y"+cos(x)y=0 Let Expanded form of y is , y=∑n=0∞Cnxn y'=∑n=1∞Cnnxn-1…
Q: (a) Give a parametrization of the portion of the sphere x² + y² + z² = 9, restricted to the region y…
A:
Q: Q1 Solve the ordinary differential equation y'+4y=3x³, using Runge-Kutta method wit Xo-0. Yo 1,…
A:
Q: A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at…
A:
Q: 5. Determine the number/s
A: Given: Function F(x)=4-x2 To find : The point at which function is continuous.
Q: 1. The set of functions {Po, P₁, Pn} in [a, b] is called a set of orthonormal functions, with…
A:
Q: Suppose x is a normally distributed for continuous random variable with 4-10 and 6. Find value of xo…
A: First converting the variable into standard normal using z =(x-u)/σ where u is mean and σ is…
Q: 4. Data from the National Vital Statistics Report reveal that the distribution of the duration of…
A:
Q: In a 24-hour period, a human's body temperature will vary ab When at rest (usually at night), the…
A: The derivative of a function of a real variable measures the sensitivity to change of the function…
Q: Find the area of this composite shape. 11 cm 16 cm 4 cm 5 cm 4 cm 4 cm 7 cm 3 cm
A: Let us consider a rectangle with length L and breadth B then the area of rectangle is Area of…
Q: b) Solve the following second order differential equation, clearly showing all calculation steps dy…
A: To solve the given second order differential equation :-
Q: 3. Recall that Km,n denotes a complete bipartite graph on (m, n) vertices. a. Draw K4,2- b. Draw…
A:
Q: e) If a convex function f: R→ R satisfies f(10) = value for f(7)? = -4 and f(20) = 30, what's the…
A: Given that f:R→R is convex function with f10=-4, f20=30.
Q: B) Find all of the second derivatives for f(x, y) = (3xy2 + 2xy + x²) In; x²+y² itable graph and…
A:
Q: Find the area of R = {(x,y) = R² : x € [-1,2], y € [x²,x + 2]} integrating first along horizontal…
A: The double integration in the horizontal direction is ∫ab∫g(y)h(y)f(x,y)dxdy The double integration…
Q: Find the consumer surplus at the equilibrium point. 29) D(x) = 5x +2; x = 0 A) $2 B) $5 C) $7 D) $0
A: Let D(x) be the demand function . Then the consumer surplus…
Q: The average speed f(t) (measured in kph) of traffic in a certain municipality between 4 PM to 8 PM…
A: It is given that the average speed of traffic is approximated by the function ft=20t-40t+50. We have…
Q: 5. In the Svensson (1994) model of the term structure of interest rates r(t) = Bor+ B₁, (1-e) / 2,t…
A: Given: Swenson model To find: Four terms
Q: Q2: Use Linear Least-Squares Regression to fit the following variables: Xi 1 2 3 4 5 6 7 8 9 10 yi…
A: Given
Q: Suppose the population of a particular endangered bird changes on a yearly basis as a discrete…
A: Given: Initial counting: x0=6030 Yearly transition matrix: A=01.25s0.5 As 0≤s≤1 To find: Which…
Q: x² + x³ + x² + x + 1 is irreducible over Q O True O False
A: The given polynomial is x4+x3+x2+x+1. To Examine: whether the given polynomial is irreducible or…
Q: -6 -5 -4 -3 -2 -1 Equation: 9 5 ✦ 3 +4 or 0 + 2 -3 + -5 2/3 ➜X
A:
Q: Solve the given linear programming model using the simplex method (Tabular form) Answe The objective…
A:
Q: a) Let f: R" → R be a function given by f(₁,₂)=1..., where = 1. Show that the maximum of f(11,…
A:
Q: d) Locate and identify the stationary points in the function y = x³ - 4x² + 2x
A: Finding stationary points
Q: A = 5 0 0 0 -6 -1 -1 0060 0 0 -11 -5 - 11
A:
Q: Side-Angle-Side?
A: Given, To prove that, ∆LMK≅∆NMK Side-Angles-Side
Q: b) Differentiate (i) (i) the following functions clearly showing your working y = cos (4x4) y =…
A: Let us differentiate the functions with respect to x in the next steps.
Q: Question 5 ( T A manufacturer assembles personal computers. If the computers are priced at £1,000…
A:
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
- For Attached matrix A given, the zeros in the matrix make its characteristic polynomial easy to calculate. Find the general solution of x’ = AxA is a 3 X 3matrix with eigenvectors v1 ,v2 and v3 corresponding to eigenvalues λ1 = -1/3,λ2=1/3 and λ3 = 1, respectively, and x .Find A kx. What happens as k becomes large (i.e., k--->∞ )Demonstrates that every polynomial is (plus or minus) the characteristic polynomial of its own companion matrix. Therefore, the roots of a polynomial pare th e eigenvalues of C(p). Hence, we can use the methods of this section to approximate the roots of any polynomial when exact results are not readily available. Apply the shifted inverse power method to the companion matrix C ( p) of p to approximate the root of p closest to a to three decimal places. p(x) = x3 -5x2 + x + l, α= 5
- For which value of k does the matrix have one real eigenvalue of multiplicity 2b) Consider an N x N matrix A with N orthonormal eigenvectors xi such that Axi = λi xi , where the λi is the eigenvalue corrosponding to eigenvector xi . It can be shown that such a matrix A has an expansion of the form : (see image) ii) Using the result for A show that the N x N identify matrix can be written as : i = (see image)How do we calculate eigenvectors for repeated eigenvalues and how is it different from how we calculate eigenvectors when we have two roots produced from the characteristic polynomial? For example, in the picture, we have a coefficient matrix for a system of linear differential equations. We calculate that the repeated eigenvalue is 2, and we would solve the equation (A minus lambda) times Z is equal to zero as shown in the other picture. This should give us the vector [1, 1] for our first eigenvector. But how would we use this to solve for the second eigenvector to get two linearly independent solutions?
- Given that the matrix A has eigenvalues λ1=1 with corresponding eigenvector v1 and λ2=−4 with corresponding eigenvector v2 Find matrix A SEE IMAGEUsing the appropriate characteristic equation A = [3 0 8 1] all eigenvalues of the matrix Find.The 2×2 real symmetric matrix A has two distinct eigenvalues λ1 and λ2.If v1 =(1,2) is an eigenvector of A corresponding to the eigen value λ1,determine an eigenvector corresponding to λ2.
- A matrix and its characteristic polynomial are given. Find the eigenvalues of each matrix and determine a basis for each eigenspace. 3 x 3 Matrix [6 -5 -4 5 -3 -5 4 -5 -2], -(t+3)(t-2)^2Write the system of differential equations given in the 1st photo in the normal form defined in the 2nd photo and solve the resulting system by means of the eigenvalues and eigen-vectors of the square matrix A.Oues. 4) Find the eigenvalue and eigenvector of the unit matrix l in 4 * 4