- #1

- 1

- 0

## Homework Statement

Matrix A has eigenvalues [tex]\lambda[/tex]

_{1}= 2 with corresponding eigenvector v

_{1}= (1, 3) and [tex]\lambda[/tex]

_{2}= 1 with corresponding eigenvector v

_{2}= (2, 7), find A.

## Homework Equations

Definition of eigenvector: Av

_{n}=[tex]\lambda[/tex]

_{n}v

_{n}

## The Attempt at a Solution

I tried this by making matrix A equal to:[ a, b, c, d ] (2x2 matrix) and then setting

v

_{1}(A - I*[tex]\lambda[/tex]

_{1}) = v

_{2}(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?