B.Sc Method Chapter 7 (Inner Product Space) Notes

Sami Aslam

Mathematical Methods (B.Sc.)

Chapter:07 (Inner Product Space)

In this chapter, we will study the following topics:

gram Schmidt orthogonalization process
symmetric matrices
inner product on V
euclidean inner product of R
euclidean space
norm or length of a vector
normalized vector
unit vector
the cauchy-schwarz inequality
the triangular inequality
angle between two vecotrs
orthogonolity
gram-Schmidt orthonormalization process
euclidean inner product
orthogonal matrix of non singular matrix
eigenspace of lamda
similar matrices
symmetric matrices
diagonaliztion of matrices
orthogonally diagonalizable
an algorithim for diagonalization

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