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Posted: **Wed May 04, 2022 1:42 pm**

: 3 Let V Be A Finite Dimensional Vector Space With A Positive Definite Scalar Product If A Only Has One Eigenvalue Sho 1 (10.88 KiB) Viewed 45 times

3. Let V be a finite dimensional vector space with a positive definite scalar product. If A only has one eigenvalue, show that every orthogonal basis of V consists of eigenvectors of A.