Inner Product Space as sum of a subspace and its orthogonal complement. Lect. 7.
Linear Algebra: Vector Spaces
Inner Product Spaces:
In this lecture the theorem is proved:
If V is a finite dimensional inner product space then it is equal to sum of its subspace and its orthogonal complement.
A corollary stating double orthogonal complement of a subspace is equal to the same subspace is proved.
A problem on inner product is solved.
The book followed is:
I. B. Herstein: Topics in Algebra.
Link to the handwritten notes on Inner Product Spaces: (you will be asked to send a request for it, I will share it with you)
https://drive.google.com/file/d/1BrHg...