The matrix -7 11 −1 A -4 1 003 has two distinct real eigenvalues 1 < >2. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue ₁ is and a basis for its associated eigenspace is The larger eigenvalue X2 is and a basis for its associated eigenspace is

The matrix -7 11 −1 A -4 1 003 has two distinct real eigenvalues 1 < >2. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue ₁ is and a basis for its associated eigenspace is The larger eigenvalue X2 is and a basis for its associated eigenspace is

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 30E

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Question

The matrix
-7 11
−1
A
-4
1
003
has two distinct real eigenvalues 1 < >2. Find the eigenvalues and a basis for each eigenspace.
The smaller eigenvalue ₁ is
and a basis for its associated eigenspace is
The larger eigenvalue X2 is
and a basis for its associated eigenspace is

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