Does not wearing hijab invalidate the fast?

I am a girl who does not wear hijab. Does that mean that my fasting in
Ramadaan is invalid?.
Praise be to Allaah.
The believing woman is enjoined to wear hijab. We have discussed hijab
on this site in the answer to more than one question, and these
answers tackle the matterfrom different angles. Some of them focus on
the ruling on hijab and point out that it is obligatory, as in the
answer to question no. 21536 . Some quote the definitive evidence for
hijab being obligatory, such as the answer to question no. 13998 and
11774 . Some describe theshar'i hijab, such as the answer to question
no. 6991 . Other answers speak of the importance of hijab in the life
of the believing woman.
Secondly:
If a woman does not wearhijab, then she is disobeying her Lord
thereby, but her fast is still valid, because sins, including not
wearing hijab, do not invalidate the fast, but they detract from its
reward, and may cause it to be lost altogether.
What we urge you to do is wear hijab as well as fast, because the aim
of fasting is not merely to give up food and drink, rather the aim is
to fast orabstain from haraam things. Hence the Prophet (peace and
blessings of Allaah be upon him) said: "Fasting is not just
(abstention) from food and drink, rather fasting is(abstention) from
idle andobscene talk." Narrated byal-Haakim and classed as saheeh by
al-Albaani in Saheeh al-Jaami' (5376).
Idle speech refers to that in which there is no benefit.
So let your fasting motivate you to obey Allaah and keep away from
that which He has forbidden.
We ask Allaah to help youto do that which He loves and which pleases Him.
And Allaah knows best.