Question

Let A =[6,8;-4,-6] A. Find the characteristic polynomial of A p(x)= B. Find the eigenvalue of...

Let A =[6,8;-4,-6]
A. Find the characteristic polynomial of A
p(x)=
B. Find the eigenvalue of A and the basis for the associated eigenspaces.
smallest eigenvalue=
Basis for the eigenspaces=
largest eigenvalue=
basis for the eigenspaces=

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1.Let a LFSR be built with characteristic polynomial f(x) = x 4 + x 3 +...
1.Let a LFSR be built with characteristic polynomial f(x) = x 4 + x 3 + x 2 + x + 1. (i). Draw a diagram of the LFSR. (ii). Show the transition diagram for the LFSR. What is the period of its output sequence? Please, can you send me the answer today!!
Find the characteristic polynomial of the matrix -5 4 0 0 -2 3 -1 2 0...
Find the characteristic polynomial of the matrix -5 4 0 0 -2 3 -1 2 0 (Use x instead of λ.) p(x)=
6. Let A =   3 −12 4 −1 0 −2 −1 5 −1 ...
6. Let A =   3 −12 4 −1 0 −2 −1 5 −1   . 1 (a) Find all eigenvalues of A5 (Note: If λ is an eigenvalue of A, then λ n is an eigenvalue of A n for any integer n.). (b) Determine whether A is invertible (Check if the constant term of the characteristic polynomial χA(λ) is non-zero.). (c) If A is invertible, find (i) A−1 using the Cayley-Hamilton theorem (ii) All the eigenvalues...
Let p be a prime and m an integer. Suppose that the polynomial f(x) = x^4+mx+p...
Let p be a prime and m an integer. Suppose that the polynomial f(x) = x^4+mx+p is reducible over Q. Show that if f(x) has no zeros in Q, then p = 3.
Let P be a stochastic matrix. Show that λ=1 is an eigenvalue of P. What is...
Let P be a stochastic matrix. Show that λ=1 is an eigenvalue of P. What is the associated eigenvector?
Let f(x) = 2/ x and a = 1. (a) Find the third order Taylor polynomial,...
Let f(x) = 2/ x and a = 1. (a) Find the third order Taylor polynomial, T3(x), that approximates f near a. (b) Estimate the largest that |f(x)−T3(x)| can be on the interval [0.5,1.5] by using Taylor’s inequality for the remainder.
Find a second-degree polynomial P such that p(4) = 14, P'(4) = 11, and P''(4) =...
Find a second-degree polynomial P such that p(4) = 14, P'(4) = 11, and P''(4) = 4. P(x)=
6. For the given polynomial, find all zeros of the polynomial algebraically. Factor the polynomial completely....
6. For the given polynomial, find all zeros of the polynomial algebraically. Factor the polynomial completely. P(x) = x^5 − 3x^4 + 12x^3 − 28x^2 + 27x − 9
Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace...
Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. A = −2 1 6 0 1 1 0 0 9 I found the eigenvalues to be (-2, 1,9). How do I find the basis for the eigenspace corresponding to each eigenvalue? (c) a basis for the eigenspace corresponding to each eigenvalue
4 4 8 6 4 6 6 5 5 find the eigenvalue of the above matrix...
4 4 8 6 4 6 6 5 5 find the eigenvalue of the above matrix .