Start from forming a new matrix by subtracting λ from the diagonal entries of the given matrix:
Find the determinant:
And solve for the values.
The eigen values can be obtained as: 1, 1, -2
(1 point) Find the eigenvalues of the matrix C= [7 6 1-6 3 4 -3 121...
(1 point) Find the characteristic polynomial of the matrix 5 -5 A = 0 [ 5 -5 -2 5 0] 4. 0] p(x) = (1 point) Find the eigenvalues of the matrix [ 23 C = -9 1-9 -18 14 9 72 7 -36 : -31] The eigenvalues are (Enter your answers as a comma separated list. The list you enter should have repeated items if there are eigenvalues with multiplicity greater than one.) (1 point) Given that vi =...
matrix algebra 14. 0/3 points | Previous Answers HoltLinAlg2 6.1.067. Consider the matrix A 00-2-11 1 1 7 6 A=12041 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) Find a basis for each eigenspace. 0 (smaller eigenvalue) (larger eigenvalue) 14. 0/3 points | Previous Answers HoltLinAlg2 6.1.067. Consider the matrix A 00-2-11 1 1 7 6 A=12041 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) Find a basis for each eigenspace. 0...
(2 points) Find all the eigenvalues (real and complex) of the matrix 7 5 5 M = -5 -1 -2 -5 -8 -6 The eigenvalues are (Enter your answers as a comma separated list.)
Consider the matrix A. [ 300 A = 120 L-6 7 -1 Find the characteristic polynomial for the matrix A. (Write your answer in terms of .) Find the real eigenvalues for the matrix A. (Enter your answers as a comma-separated list.) A= Find a basis for each eigenspace for the matrix A. (smallest eigenvalue) (largest eigenvalue)
Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter your answers from smallest to largest.) 06 6 0 60-3 2 For each eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as a comma-separated list.) dim(x)
T0 0 0 ] (1 point) The matrix A = -5 5 10 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis of [ 5 -5 -10] each eigenspace. 11 = has multiplicity 1, with a basis of 22 = !! has multiplicity 2, with a basis of 010 To enter a basis into WebWork, place the entries of each vector inside of brackets, and enter a list of these...
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...
step by step please Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee that the matrix is diagonalizable. (Recall that the matrix may be diagonalizable even though it is not guaranteed to be diagonalizable by the theorem shown below.) Sufficient Condition for Diagonalization If an n x matrix A has n distinct eigenvalues, then the corresponding cigenvectors are linearly independent and A is diagonalizable 02 Find the eigenvalues. (Enter your answers as a...
(1 point) Find the eigenvalues of the matrix A -15 2 -6 L11 3-7 , and The eigenvalues are
DETAILS LARLINALG8 7.3.007. Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter your answers from smallest to largest.) For each eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as a comma-separated list.) dim(x) =