Given , ?=∫∫?( ?2+?2)?????=????,?=????, 0 ≤?≤?

Expert Solution

milcah answered 2 years ago

Given a matrix A = [?1 ? ? 0 ?2 ? 0 0 ?2], with ?1...

Given a matrix A = [?1 ? ? 0 ?2 ? 0 0 ?2], with ?1 ≠ ?2 and ?1, ?2 ≠ 0, A) Find necessary and sufficient conditions on a, b, and c such that A is diagonalizable. B) Find a matrix, C, such that C-1 A C = D, where D is diagonal. C) Demonstrate this with ?1 = 2, ?2 = 5, and a, b, and c chosen by you, satisfying your criteria from A).

Consider the matrix A given by [ 2 0 0 ] [ 0 2 3 ]...

Consider the matrix A given by [ 2 0 0 ] [ 0 2 3 ] [ 0 3 10 ] (20) Find all its eigenvalues and corresponding eigenvectors. Show your work. (+5) Write down the entire eigendecomposition (i.e. the matrices X, Lambda, and X inverse) explicitly.

Consider the given matrix. 3 0 0 0 2 0 16 ...

Consider the given matrix. 3 0 0 0 2 0 16 0 1 Find the eigenvalues. (Enter your answers as a comma-separated list.) λ = 1,2,3 Find the eigenvectors. (Enter your answers in order of the corresponding eigenvalues, from smallest eigenvalue to largest.)

2. Given A = | 2 1 0 1 2 0 1 1 1 |. (a)...

2. Given A = | 2 1 0 1 2 0 1 1 1 |. (a) Compute eigenvalues of A. (b) Find a basis for the eigenspace of A corresponding to each of the eigenvalues found in part (a). (c) Compute algebraic multiplicity and geometric multiplicity of each eigenvalue found in part (a). (d) Is the matrix A diagonalizable? Justify your answer

Given x = (-2, -1, 0, 1, 2) and response y = (0, 0, 1, 1,...

Given x = (-2, -1, 0, 1, 2) and response y = (0, 0, 1, 1, 3) consider 2 models where the error e is normally distributed N(0,sigma^2) Model 1: y = β0 + β1*X + e Model 2: y = β0 + β1*(X^2) + e Questions: 1). Find β0Hat and β1Hat for Model 1 and Model 2. 2). Estimate σ^2, and find the variances of the estimators β0Hat and β1Hat for Model 1 and Model 2. 3). Test H0: β1Hat...

find all eigenvalues and eigenvectors of the given matrix A= [1 0 0 2 1 -2...

find all eigenvalues and eigenvectors of the given matrix A= [1 0 0 2 1 -2 3 2 1]

given the sequences x1 = [2, 6, -4, 1] x2 = [8, 0, 2, 0, -9,...

given the sequences x1 = [2, 6, -4, 1] x2 = [8, 0, 2, 0, -9, 0, 1, 0] x3 = [2, 0, -8, -8, 2] x4 = [0, 1, 5i, 0, 6i, 0] x5 = [9, 3, 7] plot the 1. DFT magnitude of the computed sequences in MATLAB 2. phase responses in degrees and radians against frequency and number of samples 3. comment on the plots

What is the area of the region bounded by given curves, x^2 + 4x - 2y + 2 = 0 and y = 0?

Given the following data (2, 5, 1, 0, 5, 0, 7, 2, 3) Calculate the 3rd...

Given the following data (2, 5, 1, 0, 5, 0, 7, 2, 3) Calculate the 3rd quartile from your "data". What's the probability that a randomly selected number from your data is even? Consider the events A = "a randomly selected number from your data is even" and B = "a randomly selected number from your data is above the 3rd quartile". Are these events disjoint, independent, neither, or both? Show your work.

ﬁnd the solution of the given initial value problem 1. y''+4y=t2+3et, y(0) =0, y'(0) =2 2....

ﬁnd the solution of the given initial value problem 1. y''+4y=t2+3et, y(0) =0, y'(0) =2 2. y''−2y'+y=tet +4, y(0) =1, y'(0) =1

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