23 32 the similarity transformation Pt AP. Let A = Obtain the matrix P, and diagonalise the matrix A using

Q: 4. Let A and B be n x n matrices with AB = BA, and let |v) E C" be an eigenvector of A with…

A: Given:-            Bxi = ∑i=1r  cij xi                       i = 1,2,3,......r

Q: 22 a Consider a system with j =1. Explicitly write (j=1, m|J,\j=1, m) in 3x3 matrix form.

A: The raising and lowering operators for angular momentum are such that

Q: Given the following equations of motion, and matrix P, 6.0000 0.0000 90.0000 -44.0000 0.6256 0.7802…

A: Given, 6004x¨+90-44-4444x=0 Stiffness matrix is, K=90-44-4444 And inertia matrix is, M=6004 If ω is…

Q: Prove the identity of the vector below a V•(AB) = B(V>A) A•VB) b. Vx(VA)=V(V-A)-VA Unknown д (4B) B…

A:

Q: d) Having seen how the inner product behaves under rotation we can now investigate its behaviour…

A: Given that a vectorvi​transforms under the Euclidean group as: vi​→Oij​vj​+ai​(4)where the…

Q: The object W = UdVod, where U is a tensor of type (1,2) and Vab bd Select one: O 1. Tensor of type…

A: Required :  The correct option.

Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A: Given data: One vector has components = (3,4) Second vector has components = (-1,-4) Required:…

Q: A displacement vector r→ in the xy plane is 25.0 m long and directed at angle θ = 38.0° in the…

A: Let us consider that the given angle is with the horizontal. Then we are given that,

Q: prove that n = VE,

A: given data :-

Q: What are (a) the x component and (b) the y component of a vector a→ in the xy plane if its direction…

A: Given Magnitude r = 9.6 m Direction θ = 238o

Q: 1.3 Give the function f(x,y,z) = 3x? – 2xyz +y² – 10z. Find -at the point (2,1,1). дхду 1.4 Find a…

A: 1.3 Given, fx,y,z=3x2-2xyz+12y2-10z then, differentiating f with respect to y…

Q: In Exercise, let W be the subspace spanned by the given vectors. Find a basis for W1.

A: A basis is the non-empty sets of vectors that span the vector space and the vector must be a…

Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A:

Q: Consider the three following matrices: 100 10 0 0 A 0 -1 0 0 0 1 9 B = 0 0 00-1 Calculate the…

A:

Q: A four vector [A] and a tensor [B] are defined by: [A] = (-2, 7, 1,3) 1 3 -5 7 0 2 0 -1 5 5 2 6 -3…

A: given information=(-2 ,7, 1 3)

Q: The 3X3 matrix which is being made is having axis coordinates, point coordinates and the force…

A: Axis coordinates, point coordinates, and the force coordinates

Q: Problem 6: In class, we showed that at an arbitrary point P with spherical coordinates (r, 0, 0),…

A:

Q: If  and B are two vectors that commute with Ô, prove the useful identity (Ô· Â)(Ô · B) = · B+ iÔ(Â…

A:

Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Let A be an arbitraty square matrix. Briefly interpret the bi-matrix games (A,A),(A, A¹), (A, -A),…

A: Solution:-           The bi-matrix games (?, ?), (?, ?t ), (?, −?), (?, −?t ), (?, 2?), (?, 2?t )…

Q: The components of vector A→A→ are Ax and Ay (both positive), and the angle that it makes with…

A:

Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Given: The four vectors are, P→: 16.0 m, at 16.0̊ counterclockwise from +x Q→: 7.00 m, at 6.80̊…

Q: 3. If A = (2xy + z³)ŵ + (x² + 2y)ŷ + (3xz² + 5)2, then (a) Evaluate V x A (b) Based on the answer to…

A:

Q: Suppose the vectors i, j, pand q are all unit vectors and the angle 0 = 340°. Find the cartesian…

A:

Q: The resultant vector R = 9A + 5B + 2C where A = 5 i + -2 j + 7 k ; B = 6 i + 8 j + -7 k and C = -6 i…

A: It is given that :

Q: Show by direct expansion that |2 = 1. For simplicity, take A to be a two- dimensional orthogonal…

A: The given problem uses an orthogonal transformation matrix, and in two- dimensional matrix usually,…

Q: Suppose that you have two vectors (1,0,0, 1) (2,0,0, 2) at What is a"b,?

A: Given that aμ=(1,0,0,1) and bμ=(2,0,0,2) we have to find the value of aμbμ

Q: 15. ez

A:

Q: the eigenvalues of the following matrix: /2 2 0 220 0 0 A) 0, 1,4 B) 1.2.2 C) 5,0,0 D) 5, 5,0 E) 0,…

A:

Q: Problem 2: Using vectors, prove that the sum of the squares of the four sides of a paral- lelogram…

A:

Q: Find the vector component of v=2i−j+3k along b=i+4j+8k and the vector component of v orthogonal to…

A:

Q: -2 -2 -20 10 Show that A = 2 -1 -1 |and B = -6 2 are similar matrices by finding an invertible…

A: Let us find the eigenvalues of matrix B.  B=-2-20100-620-61(-2-λ)-6-λ1-λ+12=0λ=-2,-3, -2 The…

Q: Let [A] be a general tensor described in two dimensional Cartesian coordinates (x¹, x²) = (x, y).…

A: A tensor  described in two-dimensional cartesian coordinates byWe need to find the transformation…

Q: Evaluate the matrix for Lx for l=1

A: