ORTHOGONALITY AND LEAST SQUARES
 

Orthogonal Vectors
Norm
Unit Vector
Orthonormal Vectors
Orthogonal Complement
Orthogonal Projection
Cauchy-Schwarz Inequality
Angle Between Two Vectors
Gram-Schmidt Process
QR Factorialization
Transpose
Symmetric and Skew-symmetric Matrices
Orthogonal Matrices
Least Squares Solutions
Matrix of an Orthogonal Projection
Orthogonal Matrices
How to Examples Exercise
How to:
Orthogonal matrices are square NxN matrices whose columns form an
orthonormal basis for Rn.

Some interesting properties of orthogonal matrices include:
     1) If A and B are orthogonal, so is A*B
     2) If A is orthogonal, so is inv(A)
     3) inv(A) == A'

    

Examples:



Exercise: