Thread: Proving the equality of two expressions

2. Re: Proving the equality of two expressions

What is your argument to prove RHS to LHS?

3. Re: Proving the equality of two expressions

It's a pretty long-winded algebraic exercise, basically I just just subbed in the expression for , then expanded out the transposes, after a lot of algebra I can get the LHS. Ofcourse I tried to backtrack from this and see if I could go from the LHS to the RHS, but there would be no way I could have thought of those algebraic manipulations if I were not given the RHS already haha

4. Re: Proving the equality of two expressions

Originally Posted by TrueTears
but there would be no way I could have thought of those algebraic manipulations if I were not given the RHS already haha
If you're doing a proof then why does it matter? Are you just interested if there is a more clear way to to it?

5. The Following User Says Thank You to Dason For This Useful Post:

TrueTears (08-27-2013)

6. Re: Proving the equality of two expressions

Well initially I wasn't given the RHS, but after I saw the solutions, I backtracked from the answer (which is the RHS), to the LHS (which is what I had initially), so yes I am wondering if there is a clearer method (in the sense that doesn't require me to backtrack from the answer itself).

7. Re: Proving the equality of two expressions

What exactly was the question asking you to do then?

8. Re: Proving the equality of two expressions

It's part of a big overall problem, kinda hard to put it into context, but essentially I had to strictly go from the LHS to the RHS without knowing the expression of the RHS first.

9. Re: Proving the equality of two expressions

Well without you even describing what the problem actually was I don't see how I can help you with any intuition for how to get there...

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TrueTears (08-27-2013)

11. Re: Proving the equality of two expressions

Ok, I'll type it up now, please check this post soon.

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Ok here it is:

My working out to derive p(β|σ,y) is:

The line marked with a blue dot is where I was stuck, only after I was told that the next step was the line marked in a red dot, then I knew what to do. As you can see, without knowing the step marked by the red dot, I couldn't have continued. So how can I get from the blue dot to the red dot without knowing the expression in the red dot

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