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Solving matrices

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

Thanks!
Reply 1
What have you tried?
Reply 2
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 )
Original post by PhysicsGal
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Can 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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