Matrix A is factored in the form PDP-1 Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 20 - 16 - 4 0 - 1 6 0 0 0 1 A = 8 6 32 1 2 0 6 0 2 1 8 0 0 6 1 0 0 0 2 -10 - 4 Select the correct choice below and fill in the answer boxes to complete your choice. (Use a comma to separate vectors as needed.) O A. There is one distinct eigenvalue, À = A basis for the corresponding eigenspace is {} O B. In ascending order, the two distinct eigenvalues are , = and 2 = Bases for the corresponding eigenspaces are O and {}. respectively. O C. In ascending order, the three distinct eigenvalues are , = and A3 = Bases for the corresponding eigenspaces are {O0 and { respectively.

Matrix A is factored in the form PDP-1 Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 20 - 16 - 4 0 - 1 6 0 0 0 1 A = 8 6 32 1 2 0 6 0 2 1 8 0 0 6 1 0 0 0 2 -10 - 4 Select the correct choice below and fill in the answer boxes to complete your choice. (Use a comma to separate vectors as needed.) O A. There is one distinct eigenvalue, À = A basis for the corresponding eigenspace is {} O B. In ascending order, the two distinct eigenvalues are , = and 2 = Bases for the corresponding eigenspaces are O and {}. respectively. O C. In ascending order, the three distinct eigenvalues are , = and A3 = Bases for the corresponding eigenspaces are {O0 and { respectively.

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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Matrix A is factored in the form PDP¯1. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace.
20 - 16
– 40
- 1
6 0 0
0 0
1
A= 8 6
32
1
060
2 1
8
0 0
6
1 0 0
0 0 2
-10 - 4
Select the correct choice below and fill in the answer boxes to complete your choice.
(Use a comma to separate vectors as needed.)
O A. There is one distinct eigenvalue, À =
A basis for the corresponding eigenspace is { }.
O B. In ascending order, the two distinct eigenvalues are =
and 2 =
Bases for the corresponding eigenspaces are
{ } and {}, respectively.
O C. In ascending order, the three distinct eigenvalues are , =
12 =
Bases for the corresponding eigenspaces are {}. { }, and {}, respectively.
and A3 =
Click to select and enter your answer(s).
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