Question

In: Math

Given that v⃗ 1=[−3,1] and v⃗ 2=[2,−1] are eigenvectors of the matrix -22 -48 8 18...

Given that v⃗ 1=[−3,1] and v⃗ 2=[2,−1] are eigenvectors of the matrix

-22 -48
8 18

determine the corresponding eigenvalues. λ1= . λ2= .

Solutions

Expert Solution

Solution :


Related Solutions

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]
Individual Television Radio 1 22 25 2 8 10 3 22 21 4 22 18 5...
Individual Television Radio 1 22 25 2 8 10 3 22 21 4 22 18 5 25 29 6 13 10 7 29 10 8 26 25 9 33 21 10 16 15 11 10 33 12 30 12 13 40 33 14 16 38 15 41 30 In recent years, a growing array of entertainment options competes for consumer time. By 2004, cable television and radio surpassed broadcast television, recorded music, and the daily newspaper to become the two...
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 −2 5...
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 −2 5 0 3 −2 0 −1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (λ1, λ2, λ3) = the corresponding eigenvectors x1 = x2 = x3 =
In each of Problems 16 through 25, find all eigenvalues and eigenvectors of the given matrix....
In each of Problems 16 through 25, find all eigenvalues and eigenvectors of the given matrix. 16) A= ( 1st row 5 −1 2nd row 3 1) 23) A= (1st row 3 2 2, 2nd row 1 4 1 , 3rd row -2 -4 -1)
Find the eigenvalues and eigenvectors of the following matrix. Justify if its diagonaliazble or not. 1...
Find the eigenvalues and eigenvectors of the following matrix. Justify if its diagonaliazble or not. 1 2 0 -3 2 3 -1 2 2
Chapter 8 1. If the sampled population has a mean 48 and standard deviation 18, then...
Chapter 8 1. If the sampled population has a mean 48 and standard deviation 18, then the mean and the standard deviation for the sampling distribution of (X-bar) for n = 9 are: A. 48 and 18 B. 48 and 9 C. 48 and 6 D. 16 and 3 E. 48 and 3 2. A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population mean and standard deviation of...
Find the eigenvalues and eigenvectors of the given matrix. ((0.6 0.1 0.2),(0.4 0.1 0.4), (0 0.8...
Find the eigenvalues and eigenvectors of the given matrix. ((0.6 0.1 0.2),(0.4 0.1 0.4), (0 0.8 0.4))
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).
A study of consumer smoking habits includes 168 people in the 18-22 age bracket (48 of...
A study of consumer smoking habits includes 168 people in the 18-22 age bracket (48 of whom smoke), 131 people in the 23-30 age bracket (36 of whom smoke), and 99 people in the 31-40 age bracket (28 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 18-22 or does not smoke. Group of answer choices 0.839 0.302
Calculate the five-number summary of the given data. 11 7 2 17 18 2 13 22...
Calculate the five-number summary of the given data. 11 7 2 17 18 2 13 22 16 1 20 21 20 23 24
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT