Inner Product Introduction

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The inner product, defined on some vector space V, is a function that maps two vectors to a scalar. The inner product between vector x and y is denoted {x,y}. The inner product has 4 properties that we discuss. For the special case where the vector space is Rn, the inner product is the dot product. For this special case, the dot product between vectors x and y is simply xy^T (i.e. the product of x with the transpose of y). We work an example of computing the dot product between two vectors.

The next video in this playlist is:
Dot Product Properties -    • Dot Product Properties (with proofs)  

The full playlist of 26 videos on Orthogonality and Least Squares is here:
   • Linear Algebra Example Problems: Orthogona...  

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