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
Cauchy-Schwarz Inequality
How to Examples Exercise
How to:
The Cauchy-Schwarz inequality comes in handy in Linear Algebra. It says that for any two vectors x and y, the
absolute value of their dot product is less than or equal to the product of their norm. In MATLAB it would look something like this:
     abs(dot(x, y)) <= norm(x)*norm(y)
    

Examples:



Exercise: