As the matter of fact, she was a person who hard being convinced for instant, she certainly would likes to thinks that his opinion are the corrected then any one else view.
1. Article use:
Only use “the” to refer to specific items; for singular non-specific items use “a”.
2. Word form:
Although the sound is similar, don’t confuse “instant” with “instance”. The meanings are quite different.
3. Passive form:
While “hard being convinced” seems to be a passive construction, the form is incorrect. Hard needs to be introduced by “was” and followed by an infinitive ("was hard to convince").
4. Verb form:
After a modal verb, use the verb name (“like” not “likes”).
5. Infinitive:
The infinitive is formed from “to” + the verb name. There is no “s” or any other verb ending on an infinitive, so use “to think” not “to thinks”.
6. Pronoun agreement:
It makes more sense if you change “his” to “her”. "His” is possible, but it doesn't make as much sense.
7. Word form:
“Corrected” is a past participial adjective. Here, however, a comparison is needed (i.e. something like "more correct"). A good solution would be to change this expression to “better”.
8. Word confusion:
“Then” and “than” often sound alike, but they are quite different. Here, you need “than” because there is an implicit comparison.
9. Possessive:
“View” belongs to someone (in this case, “anyone else”), so it needs to be possessive (anyone else’s).
10. Punctuation:
The first independent clause ends with “convince”, so a semicolon is needed here.
Suggested solution:
As a matter of fact, she is a person who is hard to convince; for instance, she certainly likes to think that her opinion is better than anyone else’s.