7 2 4 Is 9 an eigenvalue of 3 44? If so, find one corresponding eigenvector...
Is A=3 an eigenvalue of A. If so, find one corresponding eigenvector. -1 0-2 2 5 - 4 0 2 -2 a. v=(-1,5,2) b. V=(1,5,1) c. V=(-5,6,1) d. X = 3 is not aneigenvlalue of A оа Ob ос
3 7. If A is a 3x3 matrix with eigenvector o corresponding to an 1-21 eigenvalue of 5 and 2 corresponding to an eigenvalue of 2, and v= 7 [10] 4 find Av. 6
4. (a) (6 marks) Let A be a square matrix with eigenvector v, and corresponding eigenvalue 1. Let c be a scalar. Show that A-ch has eigenvector v, and corresponding eigenvalue X-c. (b) (8 marks) Let A = (33) i. Find the eigenvalues of A. ii. For one of the eigenvalues you have found, calculate the corresponding eigenvector. iii. Make use of part (a) to determine an eigenvalue and a corresponding eigenvector 2 2 of 5 - 1
A = A has a = 5 as an eigenvalue, with corresponding eigenvector and i = 8 as an eigenvalue, with corresponding eigenvector . Find the solution to the system * = }}yı – žy2 y = - 5471 + 34 y2 that satisfies the initial conditions yı(0) = 0 and y2(0) = 3. What is the value of yı(1)?
Find the characteristic polynomial and the eigenvalues of the matrix -7-3 3 - 5 The characteristic polynomial is (Type an expression using 2 as the variable. Type an exact answer, using radicals as needed.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The real eigenvalue(s) of the matrix is/are Click to select your answer(s).
Problem 2 Is λ 3 an eigenvalue of 13-2 / ? If so, find a corresponding eigenvector.
92 (a) The matrix A= 2 -5 -4 has an eigenvalue 2 -4 -5 Two of the entries of A are replaced by I, y so that it will not be convenient to find the eigenvalues by an application. 5 An eigenvector of A corresponding to the eigenvalue is 1 Find the value of and enter your answer in the box below. X= Number (b) Suppose that characteristic equation of a 8 x 8 matrix M is (1 - 2)4...
Find the eigenvalues. Find an eigenvector corresponding to each eigenvalue. Do this first by hand and then use whatever technology you have available to check your results. Remember that any constant multiple of the eigenvector you find will also be an eigenvector. (Order eigenvalues from smallest to largest real part, then by imaginary part.) D = 1 −9 9 −17
If [-9-8 2 ] is an eigenvector of [[8 -4 2][4 0 2][0 -2 -4]]T, the eigenvalue corresponding to the eigenvector is: Pick one of the choices 0-9
Find (as a unit vector with negative first term) an eigenvector of the matrix corresponding to the eigenvalue lambda = 2 2 – 30 – 6 Find (as a unit vector with negative first term) an eigenvector of the matrix 0 2 0 corresponding to the eigenvalue 1 = 2 0 - 6 4 -4 1/3 x Preview Answer: 6V154 77 V154 154 3V154 154