In the last two months I've have been asked to download an update to 2022.1 around 7 times.

Each oupdates takes 5-10 minutes and I have to sit idle.

1. Is this the typical pace of updates?

2.Is there a veriosn 2023 I need to get? if yes, how?

Thanks!

I am learning very basic matrix ops in Maple and I'm running into questions nearly at every step.

At the risk asking too many trivial questions, I have written my ~7 questions in the attached worksheet in red font.

Any answers will be appreciated.

matrix_ops_Qs.mw

matrix_ops_Qs.pdf

I am new to Maple. I'm having trouble with simple caluclations such as the one in the image. The answer (after simplificatoin and cancellations) should be (|a|^2+|b|^2)(x^2 + y^2 + z^2)  but it's not happening! The result shown is correct; only the simplification is missing. What step am I missing?

The calculation is so simple, a look at the picture should suffice for the expert,

(sorry! I still don't know how to pick-off a single tab out from the whole workbook).

Question-2: judging from the missing overbar (complex conj) on z, the "assuming" seems to only apply to z and not x and y.

if that is correct, then why?

Question-3: How can I implement the constraint (|a|^2+|b|^2)=1 (preferably)before or after this  multiplication? I tried assume((|a|^2+|b|^2)=1), and though it compiled it did not help with the simplification.

TYVM

I'm terribly sorry to ask such elementary questions.

I am getting started on Maple and the most trivial calculations are taking hours.

For example the expression:

b := exp(-i*varphi)*sin(theta/2)*cos(theta/2) + cos(theta/2)*exp(i*varphi)*sin(theta/2)

can be simplifed to           sin(theta)*Cos(Phi)

but no amount of commands such as simplify(b,trig) or combine(b, exp) will do it.

Any hits will be appreciated.