Solution:
You use "die of" when someone dies of a direct cause. You use "die from" when someone dies from an indirect cause. You use "die by" when someone dies by the means of something.
Solution:
In this sentence, the correct preposition to use is "to" when referring to being invited to someone's house. So, it should be "He invited me to his house."
The other options, "with," "into," and "from," are not the appropriate prepositions in this context.
Therefore, the correct sentence is: "He invited me to his house."