Can a woman pray in her house wearing perfume and jewellery?

The concise answer is that a woman
is permitted to pray wearing jewellery and perfume; doing that does
not invalidate her prayer in any way. 

The detailed answer is that it
is forbidden for her to wear perfume when going out to the mosque to
pray. Muslim narrated in his Saheeh from Zaynab the wife of ‘Abd-Allaah,
who said: “The Messenger of Allaah

(peace and blessings of Allaah be upon him) said: ‘If any of you (women)
attend the mosque, do not wear perfume.’” (al-Salaah, 674). Ibn
Hajar said: “This also applies to other similar things, because the
reason why perfume is forbidden is that it provokes desire in men, as
do beautiful clothes, jewellery that is visible, fancy adornments and
mixing with men.”

 It is clear that the reason
why a woman is forbidden to wear perfume or wear adornments when going
out to pray in the mosque is because of the consequences that may result,
namely temptation and evil. 

Because a great deal of mischief
is caused when women wear perfume when going to the mosque, this is
forbidden when she is going out. This problem is not present when she
does that (wears perfume) at home, so it is not forbidden, and that does not affect her prayer. And Allaah knows best. May Allaah bless our Prophet Muhammad.