Can I know whether left ventricular hypertrophy is hereditary?

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Hypertrophy is a general term and it includes multiple individual diseases. Do you have her echo report or any other medical reports of the heart? The first possibility in her case is hypertrophic cardiomyopathy, which is certainly hereditary and all the first degree relatives should be screened for the same. Also, was she hypertensive? As it can also cause hypertrophy and ventricular arrhythmias may also have other causes like blockages. There are also diseases which can cause hypertrophy and ventricular arrhythmias. So, we need some reports either echo report or autopsy report for the definitive diagnosis. If none of these is available, then you need to undergo screening.