Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis formed by the three kets {Je1>, le2>, Je3>}. In the basis of these three vectors, taken in this order, the Hamiltonian H^ and the two operators B^ and D^ are defined by: 7 i 1- i 20 B= bo H= hwo | -i 3 0 0 2 1+ i 6. -i D= 0. 2a 1+i 1- i 2a -3a where wo and bo are constants. Also using this ordered basis, the initial state of the system is given by: (e1|v(0) e2l (0) e3| v(0) T6(0)) = Q: After measuring H at t + 0, the operator B was measured.

Q: Pick two random looking and linearly indepen try to find a vector w which is orthogonal to bo…

A: Vector and matrix notations might be helpful when working with several random variables. This allows…

Q: Write x as the sum of two vectors, one in Span fu1,u2,uz} and one in Span fu4}. Assume that fu, .u4}…

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Q: Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis…

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Q: Find a nonzero vector c in R^3 such that Ax=c is consistent.   A = 2 1 1 0 -2 -2 2 4 0 -1 3 0

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Q: Let a = (-4, 3, 4) and b = (-5, 2, 3), then find the decomposition a = a +a of a with respect to b a…

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A: This is a problem of Vector Analysis. One can take it as a problem of Line

Q: -3 Let v1 = ----- -2 v2 = 1 v3 = -6 3 -3 v3}. Find the basis for H. and the H = span{v1, v2,

A: we are given three vectors  v1=-3-2-3,v2=-21-2,v3=1-63 we have to find the basis for H.

Q: 3. Let V be the solution space of the system X1 + x2 + x3 + x₁ = 0 2x1 + 3x2 + 3x3 + x₁ = 0 (11, 11,…

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Q: determined whether or not the set of vector (1,7,2), (8,0,6), (1,6,4) to form a basis for R^3

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Q: Find all values of a for which the given vectors form basis for R' a? u = V = and w = a 1 2

A: given vectors u=a201 , v=0a2  and w=101 claim- find all the values of a for which the given vectors…

Q: Prove that a set of non -zero vectors {x1,x2,...,xn) is linearly dependent if some of these vectors…

A: A set of non-zero vectors {x1,x2,...,xn} is linearly dependent if some of these vectors say xi is a…

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Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

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Q: Let e1, e2, e3, e4, ē5, e6} be the standard basis in R°. Find the length of the vector * = 471+…

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Q: Ui3(12,7,3.2) u2=( 13.5.3:3) uz= 14=(1,4,697) us%=15,13,13,25, 19) Find a basis of w? consisting of…

A: Full and detailed solution is given below. Dim(w) is number of elements in basis(w)

Q: Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis…

A: Given Data: H^=hω03i0-i30002 ,  B^=b07i1-i-i71+i1+i1-i6,D^ =002α02α 02α0-3α

Q: Consider a physical system whose

A: Given, a physical system whose three-dimensional state space is spanned by the orthonormal basis…

Q: Q: After measuring H at t = 0, the operator B was measured. What is ± AB?

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Q: orthonormal

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Q: The vectors (attached) form a basis of R^3 (R = Real numbers) if and only if k does not equal blank

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Q: Determine the following three vectors {, , } forms a basis for R^3. Expalain your answer.

A: Answer  Given  <2,1,0> , <4,2,2> and <-2,-1,3>  Let check whether they are…

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A: Given a orthogonal basis

Q: Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis…

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Q: Consider a basis for a space given by vectors -5 0 -10 -4 2 -5 -10 0 -10 -2 6 0 Answer the following…

A: answer is in next step. please give a like!!!!