21.2.1 find the eigenspace corresponding to eigenvalue lambda = -121.2.2 find an orthogonal matrix P and diagonal matrix D such that A = PDP^-121.2.3. Write the quadratic form Q(x) of which A is the matrix 21.2(i)(ii)LetA =0 1 1111 0The following information is given:The characteristic polynomial of A isp(A) = (A-2)(x + 1)².The eigenspace corresponding to the eigenvalue X = 2 is{B}}E2 = Span

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21.2 (i) (ii) Let A = 0 1 1 1 1 1 0 The following information is given: The characteristic polynomial of A is P(A) = (A-2)(A + 1)². The eigenspace corresponding to the eigenvalue X = 2 is {}]} E2 = Span

21.2 (i) (ii) Let A = 0 1 1 1 1 1 0 The following information is given: The characteristic polynomial of A is P(A) = (A-2)(A + 1)². The eigenspace corresponding to the eigenvalue X = 2 is {}]} E2 = Span

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

21.2.1 find the eigenspace corresponding to eigenvalue lambda = -1 21.2.2 find an orthogonal matrix P and diagonal matrix D such that A = PDP^-1 21.2.3. Write the quadratic form Q(x) of which A is the matrix

21.2
(i)
(ii)
Let
A =
0 1 1
1
1
1 0
The following information is given:
The characteristic polynomial of A is
p(A) = (A-2)(x + 1)².
The eigenspace corresponding to the eigenvalue X = 2 is
{B}}
E2 = Span

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