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# Solving matrices

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1. Attachment 571524571526Can anyone explain how this is solved despite having the same unknowns on both sides?

Thanks!
Attached Images

2. What have you tried?
3. (Original post by alow)
What have you tried?
For 1/2 I got that b=-b so thr only value for b is 0. I got a=a but didn't know why a=1. Apparently it is 1 (not 10, 52, 780 etc...) because of Normalisation?

For eigenvalue -1/2, ( a b )=( 0 b )
4. (Original post by PhysicsGal)
Attachment 571524571526Can anyone explain how this is solved despite having the same unknowns on both sides?

Thanks!
Look at your maths notes where it teaches eigenvectors.

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