1 2 2 1 -2 1 . Find the characteristic polynomial A4(t) for the matrix A -3 2 -1

Q: [2 1 4. Let A = 1 1 -1 2 -1 2 Show that the characteristic polynomial fa of A is -X³ + 5A² – 21 – 8.…

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Q: Find the characteristic polynomial of the matrix 5 A 0 -5 -1 -4

A: Characteristic polynomial is obtained using the expression |A-λI|, where I is the identity matrix.

Q: Let A be the matrix Find p(A). p(x) = x – 2x +4 i 5 i p(A) = i

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Q: - 1212 31 Find the inverse of matrix A using the equation A² - 5A - 21 = 0 where A = ¹2

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Q: 2. For each matrix or linear operator determine the following: • The characteristic polynomial f(t)…

A: If every eigenvalue is regular then the matrix is diagonalisable, that is geometric multiplicity…

Q: Find the coordinate matrix of x in R'" relative to the basis B'. B' = {(9, 0), (0, 7)}, x = (27, 28)

A: We have given basis B' and x, and we have to find corresponding coordinate matrix [x]B'.

Q: Find matrices A and B in M2(Z) such that AB= 0, but BA+0. 3.

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Q: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…

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Q: 49. Let A be the matrix A = 10 0 -15 0 0 46-4 3 Too 0 0 42 0 (a) Find the Jordan canonical (normal)…

A: We know that the eigenvalues are the roots of the characteristic polynomial of the matrix A and the…

Q: For the symmetric matrix 1 2 21 A = 200 (2 0 2/ find a diagonal matrix D and an orthogonal matrix P…

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Q: 4s – r – 5t - (2r + 5s + 3t) 4t – (4r + 4s) 5s – 3r + 3t with r, s and t real. Find a matrix A such…

A: Let's find.

Q: 4s – r – 5t - (2r + 5s + 3t) - 4t – (4r + 4s) - 5s – 3r + 3t vith r, s andt real. Find a matrix A…

A: given W=4s-r-5t-2r+5s+3t4t-4r+4s5s-3r+3t with r,s,t ∈ℝ find a matrix A such that W=ColA

Q: (c) Find the characteristic polynomial, the eigenvalues, and the associated eigenvectors of the…

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Q: Find the characteristic polynomial and the eigenvalues of the matrix. -5 3 -3-7 The characteristic…

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Q: 1 2 1. Find the inverse of the matrix A = 2 1 4 4 5 10

A: Note: - Since you have asked multiple question, we will solve the first question for you. If you…

Q: Matrix A has characteristic polynomial p(2) = (-45-2)(5-2)(18-2). -7 6 28 A = 6 2 -14 28 -14 -17…

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Q: Find the spectral decomposition of the matrix -2 0 -36 0 -3 0 -36 0 -23 B =

A: Given: Let consider a given matrix, B=-20-360-30-360-23 To find the spectral decomposition of given…

Q: exp(- x) exp(x) exp(x) + exp(- x) tanh(a) x ɛ [-2,2] in 4 sub-intervals The nodes are x,= - 2, x = -…

A: Let x0,y0, x1,y1, x2,y2, ..., xn,yn be n+1 given points. The following steps are used to find the…

Q: Find the characteristic polynomial of the matrix 4 -5 0 A = 0 1 -5 1 1 0 p(x) =

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Q: HW 2-6. Diagonalization. Consider the matrix, ГО 0 07 91 A 1 0 2 LO 1 1 0 Diagonalize the matrix A

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Q: The following list of matrices and their respective char- acteristic polynomials is referred to in…

A: Since you have posted multiple questions. We will provide the solution only to the first question as…

Q: Let B = {x²+x,-2x² + 3x + 3, 2x² – x – 2} be a basis of P2(R)

A: Given,            B=x2+x,  -2x2+3x+3,  2x2-x-2

Q: • {w₁ = (-2²), w₂ = (²)} ,W2 Find the matrix which sends the basis of R² s {0₁ = (₁1)₁ ¹2 = (₁¹)} ,…

A: We have to find the matrix for change of basis -20,21   to 11,-11 .

Q: Let A be the matrix 4 2 7 6 Find p(A). p(x) = x – 2x + 4 i i p(A) =

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Q: 3. The matrix A is given below. Find a basis for C(A), R(A), and N(A). Also, find the rank(A) [1 -1…

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Q: 2 -3 7 4 1 6 0 5 0 4 5 3 Find the characteristic polynomial AB(t) for the matrix B -3

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Q: 163 290 -68 2. Let B =-150 -262 60 -245 -414 91 This matrix has characteristic polynomial - (A- 6)…

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Q: 3 -20 Let A = -2 3 0 0 0 5 (a) Find an invertible matrix P and a diagonal matrix D such that that…

A: Let A=3-20-230005   (a) To Find: An invertible matrix P and a diagonal matrix such that P-1AP=D…