@wrobel, Thanks for the reply, but i need to find a solution that does not involve the notion of characteristic polynomial or eigenvalues.
Is the below proof right ?
if f(u,v) is a scalar product, then f(u,u) must be positive for all u in C2, which means that the above matrix A must be...
Summary:: Inner Product Spaces, Orthogonality.
Hi there,
This my first thread on this forum :)
I encountered the above problem in Schaum’s Outlines of Linear Algebra 6th Ed (2017, McGraw-Hill) Chapter 7 - Inner Product Spaces, Orthogonality.
Using some particular values for u and v, I...