Solution for problem 19 Chapter 1.2
a. Give an alternative proof of the Cauchy-Schwarz Inequality by minimizing the
Linear Algebra: A Geometric Approach | 2nd Edition
a. Give an alternative proof of the Cauchy-Schwarz Inequality by minimizing the quadratic function Q(t) = _x ty_2. Note that Q(t) 0 for all t . b. If Q(t0) Q(t) for all t , how is t0y related to x_? What does this say about projyx?
Step 1 of 3
To construct an alternative proof for the Cauchy Schwarz inequality.
Let us consider a quadratic function
It is noted that for all .