Q311 Find the eigenvalues and the eigenvectors of the 1. matrix A= 3.

Q: B, 1 and 2?

A: B. (1) Apply momentum conservation for experiment 1.

Q: Show that if f(x) = Ac* where A and k are real constants, then f(x) satisfies: %3D d² f(x) + k° f(x)…

A:

Q: Find the Miller Indices of a plane whose intercepts are (2,1,3).

A: Given intercepts are (p,q,r)= (2,1,3) The Miller indices of a plane is    h,k,l=1p,1q,1r…

Q: (6) If A is 3 × 3 nonsingular matrix, then A is row equivalent to [1 0 01 (a) 0 1 0 Lo 0 [1 0 0] (b)…

A: A non singular matrix is a matrix whose determinant is not equal to 0.

Q: (e) In situation (3), give the direction of a by naming either a quadrant or a direction along an…

A:

Q: Prove that Ez, fy & Iz don't commute among themselves but they commute with 1

A: Please see the answer below

Q: Find the value of q and theta

A:

Q: 9. The runout of this cylindrical surface should be .003" or less, measured totally along the…

A:

Q: Find the general solution to the differential equation y" = 2– sin 2r.

A: y'''=2-sin2x

Q: Find x?

A:

Q: Write the matrices which produce a rotation θ about the x axis, or that rotation combined with a…

A: The matrices which produce a rotation θ about x-axis is given by, A=1000cosθ-sinθ0sinθcosθ

Q: Consider the following Hermitian matrix 3 1 i 2 1i a) find the eigenvalues find the eigenvectors b)…

A: (a)The eigen values is,

Q: Given the following matrix 3 3 1 5 Find its two eigenvectors. (A 3 and H2 0. B 3 and A, !! R -3 and…

A:

Q: Show that the force vector B = 2î – 4ĵ + k is orthogonal to the force vector ở = 3î + 43 + 10k. [2]

A: There are Two vectors -

Q: find the eigenvalues and the normalized eigenvecor of the matrix A= 7 0 0 0 1 -i 9 i -1

A: Solution:given matrixA= 70001-i9i-1Find Eigen values and normalized eigen values.Now taking…

Q: A docs.google.com/forms/d/e Which function is preferable to find the magnitude of a complex number?…

A: 1. Correct option is : abs ()

Q: If f is a scalar function and v = [v1, v2, v3] is a vector field. Show that div(fv)=f divv+v·∇f

A:

Q: The spherical coordinates of a point (x, y, z) are unique. O True O False

A: True, the spherical coordinates are unique

Q: 3. In each case, show that f (x) is an eigenfunction of the operator given. Find the eigenvalue.…

A:

Q: A particle undergoes a displacement ∆r>of magnitude 54 m ina direction 42° below the x axis.…

A:

Q: Use: F = 615 N 30 Resolve F into components along the u and v axes and determine the magnitudes of…

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Q: Consider two vectors å = (5.0)î – (4.0)ĵ + (2.0)k and b = (-2.0)î + (2.0)ĵ + (5.0)k. Find %3D…

A:

Q: Evaluate the commutator L,, L, L,- (a) h'L, (b) 0 (c) h'L, (d) h°L.

A: In rotational mechanics, Angular momentum holds a similar place as linear momentum. If Net torque on…

Q: Find AB for each of the following matrices :- -lo 3 -2J, 2) A=L 3 4 2 -3) 3) A=[ B=[ 5 13 1J Find A?…

A: According to the question answering guidelines by Bartleby the first three subparts have to be…

Q: Let a = and b = . %3D (a) Find the scalar projection of b onto a. (b) Find the vector projection of…

A: A=(-2,2,1)  ,  B=(-5,-4,3)then,a→=-2L^+2j^+k^…

Q: If |A + B| = A+B and neither A nor B vanish, then: Select one: O a. the angle between A and B is 60?…

A:

Q: *Problem 3.17 The 2 x 2 matrix representing a rotation of the xy-plane is cos 0 - sin 0 cos e T =…

A:

Q: Get the expression for the divergent of a vector field in spherical coordinates.

A: Given : Divergence :                           Divergence of a vector field is a measure of the “…

Q: Consider two vectors A = -9.88 i + 1.47 k and B = 2.4 j+ 0.49 k. Find the %3D angle o between these…

A:

Q: particle experiences? 1.59 Check your evaluation of the cross product as this is a likely source of…

A:

Q: Derive the matrix for rotation around the x-axis 30

A: Basics of Rotation matrix: Rotation matrix is  used to perform a rotation in Euclidean space. The…

Q: Two operators A and B commute with each other if

A: The commutator of two operators A and B is given by,  A, B=AB-BA ----(1)

Q: A he is golng 2omp. ajwhet is his relocity ad 8s% ) How for will he travel in 3.Co.o?

A: We need to tell velocity after 8 seconds and the distance travelled in 3 seconds.

Q: Find the simplest SI unit of z, if Z = Fr³r? m³v²

A: Write the given values of this problem.  Let, F=force (kg.m/s2)r=radius mt=time secm=mass…

Q: Is my work good for 19 b)? I am not sure if it makes sense to do it this way please let me know :)…

A: It is given that,

Q: Prove that AB, C -{ÂB‚C} + ({‚ĉ} - [A,C))B = 0, given that the commutator of X and Ý is denoted X,…

A:

Q: H.W.: prove that the eigenfunctions , (x) =cos (x) and 3 (x) =cos x) 2a are orthogonal.

A:

Q: 1-36. Find the value of the integral fs A da, where A = xi - yj + zk and Sis the closed surface…

A: Find the value of the integral fs A day, where A = xi - yj + zk and Sis the closed surface defined…

Q: If F = (2x2 - 3:) î – 2xy j - 4xk, then evaluate , V F dV, where V is bounded by 1. x = 0, y = 0, z…

A:

Q: If A : (B x Č) = 0 then: Select one: O a. Ā is parallel to either B or C O b. Ä is perpendicular to…

A:

Q: Calculate the value of E.

A: Given;  The diagram shows a lever in use;  AB=1m AF= 0.4 m Calculate the following ?

Q: Evaluate the integral W = mv dv. %3D Express your answer in terms of m, vj, and vf.

A: Part F: The given equation of work in the integral form is: W=∫vivfmvdv

Q: e matrix equations A 7] -2 tion is:

A:

Q: Find each of the following in rectangular (a + bi) form if z = 2 – 3i; if z = x + iy. 22.

A: Given that  and we have to solve for

Q: Q.1CC)IFE igen value of matrix is d, the corresponding eigen for matrix -882 vector is Lil 32 then d…

A: Given: The matrix is given as Let X be the Eigenvector matrix.

Q: Without finding T and N, write the

A: position vector r is given. want to calculate acceleration. acceleration =ddt(drdt)

Q: Find the real component if the complex number a + bi is raised to m if a = 7.4, b = 4, and m = 5.

A: Complex number form= a+biGivena=7b=4m=5

Q: What is the  angle of the 10X force?

A:

Ising model of Ferromagnets

The Ising model is one of the easiest and most famous theoretical models for ferromagnetism in statistical mechanics. When a group of atomic spins aligns such that their magnetic moments are pointed in the same direction and produce a strong permanent magnetic moment in macroscopic size, the phenomenon is called ferromagnetism. The relative permeability of these magnets is greater than unity and increasing magnetization with the applied external field. Even in the absence of an external magnetic field, these substances retain spontaneous magnetization. An example of ferromagnets is iron.