This is the 10753rd most frequent Russian word.
вселяет
"Inspires" or "instills."
Here, 'вселяет' is used to mean 'instills' or 'inspires', indicating that the book causes the feeling of hope to emerge.
Эта книга вселяет надежду на лучшее.
This book instills hope for the better.
In this context, 'вселяет' describes the effect the teacher has in making students feel confident.
Терпеливый учитель вселяет уверенность в учениках.
A patient teacher instills confidence in students.
Here, 'вселяет' expresses the action of the painting triggering admiration in viewers.