Dought & clear, - If he does Hajj on behalf of his deceased brother, will that be expiation for him?

If Hajj is expiation for all the pilgrim's sins, can we say by analogy
with that that it will, by Allah's leave, be an expiation for my
brother (may Allah have mercy on him)? I am intending to do Hajj on
his behalf, in sha Allah, and to give the reward of that to him,
sincerely for the sake of Allah, may He be glorified and exalted.
Please note that I have done Hajj previously on my own behalf, praise
be to Allah.
Praise be to Allah.
The saheeh evidence indicates that Hajj is very important and that it
expiates sins, and that the one who does it goes back (free of sin) as
on the day his mother bore him. But does that include both major and
minor sins, or only minor sins? There is a difference of scholarly
opinion concerning that; the majority of scholars are of the view that
Hajj only expiates minor sins and that in the case of major sins, it
is essential to repent from them specifically. Please see the answer
to question no. 34359
Secondly:
It is permissible for an individual to perform Hajj on behalf of his
brother who has died and did not perform the obligatory Hajj for
himself, and the reward for the Hajj will go to the one on whose
behalf it was performed. The one who performs the Hajj will have a
similar reward, according to some scholars, such as the one who said
that he will have a great reward, but it will not be like the reward
of the one on whose behalf Hajj was performed. See the answer to
question no. 111407and 111794
Undoubtedly Hajj on behalf of another is regarded as an act of
kindness and upholding ties of kinship, hence it is hoped that the one
who does it will have a great reward."Is there any reward for good
other than good?" [ar-Rahmaan 55:60].
As the reward of the Hajj will go to the deceased, there is the hope
that it will be expiation for his sins, for Allah's grace is immense
and His mercy encompasses all things.
We ask Allah to help and guide you.
And Allah knows best.