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Community Tip - When posting, your subject should be specific and summarize your question. Here are some additional tips on asking a great question. X

Rotation.

lvl107
20-Turquoise

Rotation.

Hello, Everyone.

Rotation.PNG

Thanks in advance for your time and help.

Best Regards.

3 REPLIES 3
RichardJ
19-Tanzanite
(To:lvl107)

See the attached.

Werner_E
25-Diamond I
(To:RichardJ)

b=0 is not the only solution here, rather can b be any integer multiple of pi.

06.04_1.png

In Mathcad's solution a could be any complex value, but IMO we have to exclude integer miltiples of pi/2 which would make one of the denominators to zero.

So the solutions for X are either k*j*2*pi (including X=0) and (2k+1)*j*pi, where k is any integer.

We can also use

06.04_2.png

or

06.04_3.png

and try to encypher Mathcad's case distinctions.

@Loi Le: Please don't put a solve block in a program structure - that can't work.

Werner_E
25-Diamond I
(To:RichardJ)

Playing around with the equation, thinking that exp(X) could also be a 2x2 matrix (exp([2x2] vectorized) I came across this evaluation:

06.04.png

Whats the definition of exp([2x2]-matrix)? What is implemented here?

It will only work with base e (see above), base 0 (-->0) and base 1 (-->identity matrix), not any other base and it will also not work (with numbers) using numerical evaluation.

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