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Matrix transformations

SamuelGHOSTY
in Mathematics

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I found a book (http://hades.mech.northwestern.edu/images/7/7f/MR.pdf#page=531&zoom=100,0,222 (page 517)) and there are some equations that bugs me. On pictures you can see that with equations from pictures 1 and 2 we can get equation on picture 4. How does that happen? I tried to solve it by myself but I got different first row in equation on picture 4. It will be much better if you show me how to get the last equation step by step. All Beta i equal to 0. l and w are shown in the picture 3 (those are lengths). wbz is an input variable, we doesnt need to know what it equals to for now.

1.png

2.png

3.png

4.png

Edited by SamuelGHOSTY

And what would the Beta i be?,

Edit and the w?

Edited by studiot

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