Jamieson, Fausset and Brown on Hebrews 13:6

6. may--rather as Greek, expressing confidence actually realized, "So that we boldly (confidently) say" (Psa 56:4, 11; 118:6). Punctuate as both the Hebrew and the Greek require, "And (so) I will not fear: what (then) shall man do unto me?" 7. Remember--so as to imitate: not to invoke in prayer, as Rome teaches.

have the rule--rather, "who have had the rule over you": your spiritual leaders.

who--Greek, "the which": such persons as.

have spoken unto you--"spake" (so the Greek aorist means) during their lifetime. This Epistle was among those written later, when many of the heads of the Jerusalem Church had passed away.

whose faith--even unto death: probably death by martyrdom, as in the case of the instances of faith in He 11:35. Stephen, James the brother of our Lord and bishop of Jerusalem, as well as James the brother of John (Ac 12:2), in the Palestinian Church, which Paul addresses, suffered martyrdom.

considering--Greek, "looking up to," "diligently contemplating all over," as an artist would a model.

the end--the termination, at death. The Greek, is used of decease (Lu 9:31; 2Pe 1:15).

of their conversation--"manner of life": "religious walk" (Ga 1:13; Ep 4:22; 1Ti 4:12; Jas 3:13). Considering how they manifested the soundness of their faith by their holy walk, which they maintained even to the end of that walk (their death by martyrdom).