Part C For a matrix A( ) an eigenvector v is a vector (2 x 1 matrix) such that Av = àv i.e. multiplying the vector by the matrix gives a scalar multiple of the vector, called an eigenvalue. Show that 2 must satisfy the equation 22 - (p+s)2 + ps - qr = 0 and use this equation to find the eigenvalues and eigenvectors for the matrix ()-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 37E
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Part C
For a matrix A( ) an eigenvector v is a vector (2 x 1 matrix) such that Av = àv i.e.
multiplying the vector by the matrix gives a scalar multiple of the vector, called an
eigenvalue.
Show that 2 must satisfy the equation 2 - (p +s)a + ps – qr = 0 and use this equation
to find the eigenvalues and eigenvectors for the matrix ( ).
2/
Transcribed Image Text:Part C For a matrix A( ) an eigenvector v is a vector (2 x 1 matrix) such that Av = àv i.e. multiplying the vector by the matrix gives a scalar multiple of the vector, called an eigenvalue. Show that 2 must satisfy the equation 2 - (p +s)a + ps – qr = 0 and use this equation to find the eigenvalues and eigenvectors for the matrix ( ). 2/
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