6. M = 2 -7 1-6 a. Find the characteristic polynomial and eigenvalues of M. b. Find a basis for the eigenspace of M. c. Use your answers from parts a. and b. to diagonalize M as M = PDP-¹. To find P-¹ first find the adjugate of P.

Q: Find the complex conjugate eigenvalues and the corresponding eigenvectors of the matrix. 0 3 - 27 0…

A: Hence the answer is the option  B.

Q: Let A = - 1 -3 3 3 -5 3 3 -3. Find bases for the eigenspaces of A. 1

A:

Q: Find a basis for the eigenspace corresponding to the eigenvalue. 9 -1 2 A = 3 5 6 ,^ = 8 - 3 3 2 ...…

A:

Q: Find the basic eigenvectors of A corresponding to the eigenvalue 2. -1 0 8 4 1 0 -8 -4 2 = -1 4 A =…

A: Given:  A=-108410-8-4-209440-16-7,λ=-1

Q: ] 1. Use the characteristic polynomial to find the eigenvalues of A. Call them X₁ and X2. Consider…

A:

Q: Let A = | -4 8 10 8 3 7 a) Find the characteristic polynomial of A. b) Find all the eigenvalues of…

A: The matrix is A=600-4810837. a) The characteristic polynomial  is obtained using the equation…

Q: 2. In this course you mainly work with matrices that have real eigenvalues. But, what about the…

A:

Q: c-[and D-191 = C = a) Compute: 3C-5D @ @ (iv) C and D. DC det (C) C-¹ b) Find the eigenvalues and…

A:

Q: Use the eigen-pair A = 1, v = |I to decide which of these is a solution to d 1 dt -3 1 -1/3 t et t…

A:

Q: -3 -3 0 0 -3 -3 0 0 0 0 -3 -3 0 0 -3 -3 Find the eigenvalues and an orthonormal basis for each…

A:

Q: Find the eigenvalues and the eigenvectors of J and write it in the form J = P DP^ −1 where P and D…

A:

Q: 2. Show how to find the characteristic polynomial det (A-XI) and how to use it to find the…

A: A=1331

Q: Find a basis for the eigenspace corresponding to each listed eigenvalue. Use a calculator to perform…

A:

Q: 1. Let A = 1 2 4 1 0 0 0-1 3 Answer the following a. Find the characteristic polynomial of A, and…

A:

Q: Find an eigenbasis (a basis of eigenvectors) and diagonalize. -1 -2 7 A = | -13 6 11 - 11 -2 17…

A:

Q: 1+i A = 1- i 3

A:

Q: One eigenvalue of the matrix A 1 12 167 -3 14 12 is A₁ = 5. -10 30 45. Find enough vectors to form a…

A:

Q: 1 B= 3 -3 1 a. What is the characteristic polynomial of B? b. Does B have any real eigenvalues? c.…

A:

Q: Suppose that T is the 90° counterclockwise rotation of R2 around the origin. Then T has 1| |-1 as…

A: Let's find eigenvalues value of T.

Q: Find a basis for the eigenspace corresponding to the eigenvalue. 4 3 -2 A = 9 - 4 A= 3 -1-3 A basis…

A:

Q: 1. Answer the following for A = b. Find a basis for the eigenspaces. 1 -3 3 3 3 -5 -3 3 1 ننا ننا

A:

Q: Find all distinct (real or complex) eigenvalues of A. Then find a basis for the eigenspace of A…

A: