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Can I run Mistral-7B-Instruct-v0.2 on an RTX 3090?

Yes

Its published weights (14.5 GB) fit in the 21.6 GB an RTX 3090 can use, with room for ≈ 32K tokens of context.

Full analysis of Mistral-7B-Instruct-v0.2 Everything that runs on RTX 3090 Get the weights on Hugging Face
hf download mistralai/Mistral-7B-Instruct-v0.2

Files and context on RTX 3090

Each file of Mistral-7B-Instruct-v0.2 (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.

FileSizeOn RTX 3090 Context (16-bit)Context (8-bit)
As published14.5 GBFits32K32K
4-bit (estimate)4.07 GBFits32K32K

Mistral-7B-Instruct-v0.2 on other hardware

Popular models that run on RTX 3090

Assumes 90% of the card's memory is usable and at least 4K tokens of context for one conversation, with the context cache in 16-bit unless noted. Fits leaves at least 20% of that memory for context; Tight leaves less.