An observable operator A has two normalized eigenstates |Ψ1〉 and |Ψ2〉, with eigenvalues ​​a1 and a2, respectively. The o

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An observable operator A has two normalized eigenstates |Ψ1〉 and
|Ψ2〉, with eigenvalues ​​a1 and a2, respectively. The observable
operator B has two normalized eigenstates |Φ1〉 and |Φ2〉, with
eigenvalues ​​b1 and b2, respectively. The eigenstates are related
as follows:

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(a) The observable B is measured and the value b1 is obtained.
What is the state of the system immediately after the
measurement?
(b) If the measurement of A is made immediately after the result
of (a), what are the possible results and what are the
probabilities for each of them?
(4₁) = 4|Þ1) + 3|0₂) 5 e |4₂) = 3|Þ₁) — 4|Þ₂) 5