Please explain in detail. 1-)a-). Consider anangular momentum 1 system, representedby the state vector147 = 1√26(3)Lye t-21 01 01O100What is the probability that a measurement of 1xyields the value 0 ?b-)14. Find the eigenvalues and eigenvectors of Syoperator (y-component of the spin angular momentum)(the question is a bit blurry so i am writingit again- Find the eigenvalues andeigenvectors of Ŝy operator (y-componentof the spin angular momentum)

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Consider an by the state vector 147= angular momentum 1 system, represented 1/17 (41) √26 -3 Lx= ħ 2 1 0 1 01 10 What is the probability that a measurement of Ix yields the value 0 ? -) 4. Find the eigenvalues and elgenvectors of Sy operator (y component of the spin angular momen -L2₁ 4+] the question is a bit blurry so i am writing again- Find the eigenvalues and genvectors of Ŝy operator (y-component

Consider an by the state vector 147= angular momentum 1 system, represented 1/17 (41) √26 -3 Lx= ħ 2 1 0 1 01 10 What is the probability that a measurement of Ix yields the value 0 ? -) 4. Find the eigenvalues and elgenvectors of Sy operator (y component of the spin angular momen -L2₁ 4+] the question is a bit blurry so i am writing again- Find the eigenvalues and genvectors of Ŝy operator (y-component