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hotrokr69
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Homework Statement
Matrix A has eigenvalues [tex]\lambda[/tex]1= 2 with corresponding eigenvector v1= (1, 3) and [tex]\lambda[/tex]2= 1 with corresponding eigenvector v2= (2, 7), find A.
Homework Equations
Definition of eigenvector: Avn=[tex]\lambda[/tex]nvn
The Attempt at a Solution
I tried this by making matrix A equal to:[ a, b, c, d ] (2x2 matrix) and then setting
v1(A - I*[tex]\lambda[/tex]1) = v2(A - I*[tex]\lambda[/tex]2)
(where I is the 2x2 identity matrix) and solving for a,b,c,d but it was wrong! Can anyone help?