If 𝐴 is indefinite and 𝐵 is positive definite, then 𝐴+𝐵 is indefinite.

robbbiehu

robbbiehu

Answered question

2022-10-16

If 𝐴 is indefinite and 𝐵 is positive definite, then 𝐴+𝐵 is indefinite.

Answer & Explanation

Ramiro Sosa

Ramiro Sosa

Beginner2022-10-17Added 13 answers

Counterexample: If A = [ 1 0 0 1 ] , we can have B = I 2 and A + B is positive semidefinite.

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