MHB Determinant - Proof for distinct real numbers

Dethrone
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I was able to prove a), but I am unsure how to prove b. Is there some sort of geometric interpretation I should be aware of?
 

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Rido12 said:
I was able to prove a), but I am unsure how to prove b. Is there some sort of geometric interpretation I should be aware of?

Hey Rido! ;)

One way is apply the property of a determinant that it is 0 iff its columns form a linear combination. (Thinking)
 
Thread 'Derivation of equations of stress tensor transformation'

Thread 'Derivation of equations of stress tensor transformation'

Hello ! I derived equations of stress tensor 2D transformation. Some details: I have plane ABCD in two cases (see top on the pic) and I know tensor components for case 1 only. Only plane ABCD rotate in two cases (top of the picture) but not coordinate system. Coordinate system rotates only on the bottom of picture. I want to obtain expression that connects tensor for case 1 and tensor for case 2. My attempt: Are these equations correct? Is there more easier expression for stress tensor...
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