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-/4 1/4 1/2 ー|す - | 00 PDP'. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 1. 2. 0 1 0 3. 8 - 1 L0 0 1 1. 4. 4. w and fill in the answer boxes to complete your choice. tors as needed.) genvalue, 1 = A basis for the corresponding eigenspace is Bases for the corresponding eigenspaces are = Zy pue ,?2=, and g = two distinct eigenvalues are = %3D pue three distinct eigenvalues are y = . Bases for the corresponding eigenspaces are

-/4 1/4 1/2 ー|す - | 00 PDP'. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 1. 2. 0 1 0 3. 8 - 1 L0 0 1 1. 4. 4. w and fill in the answer boxes to complete your choice. tors as needed.) genvalue, 1 = A basis for the corresponding eigenspace is Bases for the corresponding eigenspaces are = Zy pue ,?2=, and g = two distinct eigenvalues are = %3D pue three distinct eigenvalues are y = . Bases for the corresponding eigenspaces are

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Matrix A is factored in the form PDP . Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 1. 221 2 4. 2. 0 0 9 131 L- 0 4. 22 1 -2 1 2 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, 1 = A basis for the corresponding eigenspace is and ^2 = Bases for the corresponding eigenspaces are respectively. O B. In ascending order, the two distinct eigenvalues are , = pue ,^2 =, and 3 = Bases for the corresponding eigenspaces are respectively. O C. In ascending order, the three distinct eigenvalues are 2, = pue O
Transcribed Image Text:Matrix A is factored in the form PDP . Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 1. 221 2 4. 2. 0 0 9 131 L- 0 4. 22 1 -2 1 2 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, 1 = A basis for the corresponding eigenspace is and ^2 = Bases for the corresponding eigenspaces are respectively. O B. In ascending order, the two distinct eigenvalues are , = pue ,^2 =, and 3 = Bases for the corresponding eigenspaces are respectively. O C. In ascending order, the three distinct eigenvalues are 2, = pue O
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