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## Homework Statement

a positive definite matrix has eigenvalues λ=1 and λ=2. find the matrix

## Homework Equations

## The Attempt at a Solution

I've used a 2x2 matrix with entries a0,a1,a2,a3 as the unknown matrix but no use. (As little as i know a0 and a3 should be 1 and 2 respectively; corresponding to the eigenvalues) Any ideas on how to solve this?

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