Perplexed

 Finished Sharma lesson 3, with the help of Meta ai. Below

Inner Product:

                                         

                                                                                    

Normalized vector:

                                                                         

Outer Product:

                                                                      

Requirements:

                                                                   

*     *    *

I did get curious about how using the conjugate values of the second vector

makes the Inner Product commutative. It does mathematically, but why do I

need this feature. So far, it has to do with the fact that quantum physics vectors are not

in 3-d space but in a Hilbert space (ie possibly infinite). So a whole system of 

measurement needs to be built around this feature...

https://www.perplexity.ai/search/In-calculating-the-zvAwPB5TTEyAZxRsHjC2FA

https://youtu.be/dLP6goswxFI?si=-8Kfj32QrJS3hxy2