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 - 15 A= 65 30 -0 1 2 00 5 50 0 o 0 1 0 5 0 2 1 10 -10 -5 -5 0 -1 10 0 0 0 2 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, ) =. A basis for the coresponding eigenspace is In ascending order, the two distinct eigenvalues are 2, = and i, = | В. Bases for the corresponding eigenspaces are and {}. respectively. O C. In ascending order, the three distinct eigenvalues are , =, 2 =, and Ag =. Bases for the corresponding eigenspaces are )., 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 - 15 A= 65 30 -0 1 2 00 5 50 0 o 0 1 0 5 0 2 1 10 -10 -5 -5 0 -1 10 0 0 0 2 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, ) =. A basis for the coresponding eigenspace is In ascending order, the two distinct eigenvalues are 2, = and i, = | В. Bases for the corresponding eigenspaces are and {}. respectively. O C. In ascending order, the three distinct eigenvalues are , =, 2 =, and Ag =. Bases for the corresponding eigenspaces are )., 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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