Find the eigenspace corresponding to each eigenvalue of
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Find the eigenspace corresponding to each eigenvalue of a. b. c. d. e. f. Find the...
Find the eigenspace corresponding to each eigenvalue of A A 13 4.2. O a. Ob. 8,15 = ({}) 841-2) = ({{ }}) 821-1) = {[1]). 896-3) = {{ ?]) 847) = ({}]]). 8x(+2) = {{ {"}}) ({}]]). 8(a) = ({{ }}) 84(1) = {[ -]]). 8913) - ({{ :']) ={{{1}}) od 8A(-1) = O Of. 8A(-5) = 84(2) =
Q7. (a) Find a basis for the eigenspace of the following matrix corresponding to the eigenvalue X= 2: 4 -1 6 2 16 2 -1 8 (b) Suppose that the vector z is an eigenvector of the matrix A corresponding to the eigenvalue 4. Let n be a positive integer. What is A"r equal to?
Find the eigenspace corresponding to each eigenvalue of A A 1 3 4 2
Q7. (a) Find a basis for the eigenspace of the following matrix corresponding to the eigenvalue X= 2: 4 -16 2 1 6 2 -1 8 (b) Suppose that the vector r is an eigenvector of the matrix A corresponding to the eigenvalue 1. Let n be a positive integer. What is A" equal to?
Find the characteristic equation of A, the eigenvalues
of A, and a basis for the eigenspace corresponding to each
eigenvalue.
A = Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. -7 16 0 1 1 005 (a) the characteristic equation of A 2+7 2–1 2–5 = 0 (1 - 5)(1 - 1)(x + 7) = 0 (b) the eigenvalues of A (Enter your answers from smallest to largest.)...
8A 3 5 e. ({[:-]}) – 12–18 {[ ]]) – (5)*8 {{ .- }} = (2-18 ({{) – (248 {{ :- 1) = (0** {[:]) = (t="8 ({{ :- 1) – (8-" '{{{1}}) - (1-12 {{ .- .}) – ()": {{{$r}- (n*8 ({[1]) = (2) {[:-]}} {{ : = }) – (5–18 8A b. 8A a. - [42] Find the eigenspace corresponding to each eigenvalue of A
Corresponding eigenvectors of each eigenvalue 9 Let 2. (as find the eigenvalues of A GA 1 -- 1 and find the or A each 5 Find the corresponding eigenspace to each eigen value of A. Moreover, Find a basis for The Corresponding eigenspace (c) Determine whether A is diagonalizable. If it is, Find a diagonal matrix ) and an invertible matrix P such that p-AP=1
Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. -6 1 4 A= 0 1 1 003 (a) the characteristic equation of A [ (b) the eigenvalues of A (Enter your answers from smallest to largest.) (21, A2, A3) -([ (c) a basis for the eigenspace corresponding to each eigenvalue basis for the eigenspace of λι - basis for the eigenspace of 12 = basis for the eigenspace of...
ees. For each eigenvalue, fins polynomial II Find the eigenvalues of the followin basis for the corresponding eigenspace. a. [6 - 24 - 4 2 -10 - 2 1 4 1 c. 3 1 0 1 To 3 1 Loo 3 e. -1 -1 10 ] f. [ -1-16 1-1-16 1 / -1 ol b. [ 7 -24 -61 2 -7 - lo 0 1 d. 3 -7 -41 -1 94 1 2 -14 -6 -5 51 0-4 -IC MINI...
Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. -5 14 A= 011 003 (a) the characteristic equation of A (b) the eigenvalues of A (Enter your answers from smallest to largest.) (14, 12, 23) = (c) a basis for the eigenspace corresponding to each eigenvalue basis for the eigenspace of 24 = basis for the eigenspace of 22 - basis for the eigenspace of 33 -