eage vectors Q1-3 Determine all eigenvalues and of the given matrix 1. A=(261) 2. A =...
3. ( Find all eigenvalues and eigenvectors of the matrix A= [ 5 | 3 -1] and show the eigen- 1 vectors are linearly independent.
For a given system the system A-matrix is given by 4 3 2 5 367 1 A = 2 7 5 3 5 3 2 The matrix of left eigen vectors U and right eigen vectors Vare respectively -0.4633 -0.4633 0.4122 0.4343 -0.4711 0.6121 0.4538 0.6399 -0.5780 0.4538 0.5012 0.4569 0.4343 0.5012 -0.4338 0.6099 U = V = -0.4711 0.5780 0.6399 -0.4338 -0.3108 0.5529 -0.3108 0.5894 -0.4569 0.3328 0.4122 0.6099 0.5894 0.3328 0.6121 0.5529 Determine the eigen values of the...
Consider the matrix -2 -3 AE 1 -3 3 a) Find the eigenvalues of A. And the eigen vectors associated to them. b) Is A diagonalizable ? Justify your Answer.
Please answer 1 and 2 with explanation.
EIGEN VALUE-VECTORS 1) Find the eigenvalues and their corresponding eigenvectors of the matrix 1 3 2 ) A=| 10 -2 ) 2) Find the eigenvalues and their corresponding eigenvectors of the matrix Tunin o diaconal matrix. Can matrix A be
4.22. Consider the vibrating system described by 42 -2 1 Compute the mass-normalized stiffness matrix, the eigenvalues, the normalized eigen- vectors, the matrix P, and show that PTMP I and PTKP is the diaggaal matrix of eigenvalues Л
4.22. Consider the vibrating system described by 42 -2 1 Compute the mass-normalized stiffness matrix, the eigenvalues, the normalized eigen- vectors, the matrix P, and show that PTMP I and PTKP is the diaggaal matrix of eigenvalues Л
1 -1 1 Find the eigenvalues and corresponding eigenvectors for the matrix 0 6 2 0-19 Selected Answer: 21 = 8, x1 = (0,1,1) 12 = 7, 12 =(-1, 12, -6) d. 13 = 1, 13 = (1,0,0)
Find the eigenvalues of the given matrix. [-14 -6 36 16 1) A) -2.-4 B)-4 C)-2 D) -24 The characteristic polynomial of a 5 5 matrix is given below. Find the eigenvalues and their multiplicities 2) A5 - 24A4-189A3-486A2 2) A) 0 (multiplicity 2),-9 (multiplicity 2),-6 (multiplicity 1) B) 0 (multiplicity 1),9 (multiplicity 3), 6 (multiplicity ) C) 0 (multiplicity 2),9 (multiplicity 2),6 (multiplicity 1) D) 0 (multiplicity 2),-9 (multiplicity 2),6 (multiplicity 1) Diagonalize A- PDP-1 the matrix A, if...
Find the eigenvalues of the given matrices
Property 2 A matrix is singular if and only if it has a zero
eigenvalue
17. 21] 4t 11. Verify Property 2 for 6 A= 3 -1 2 21 7
Question 19 (1-1 Find the eigenvalues and corresponding eigenvectors for the matrix 0 6 2 0-19 Selected Answer 21 = 8, x= (0,1,1) 12 = 7, x2 =(-1, 12,-6) d. hg = 1, 13 = (1,0,0)
0 2 0 Q1) Let A = 1 3 2 2 0 a) Determine all eigenvalues of A. b) Determine the basis for each eigenspace of A c) Determine the algebraic and geometric multiplicity of each eigenvalue. Q2) Let aj, 02, 03, 04, agbe real numbers. Compute ai det 1 1 Q3) Determine all values of x E R such that matrix 4 0 3 х 2 5 A = is invertable. х 0 0 1 0 0 4 0