Strain-displacement Matrix

Q: Are these vectors linearly dependent or independent? p1(x) = 1, p2(x) = 1 + x, p3(x) = 1 + x + x^2,…

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Q: Show algebraically that the perspective matrix preserves order of z values within the view volume.

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Q: Find the angle , in degrees, between u and v. u = [-2, -5] v = [0, 3] 0=Ex: 1.234:

A: Given:Aim:To find the angle , between  Formula Used:The formula to find the angle between any two…

Q: State two important features for a set of orthonormal vectors

A: A set of vectors forms an orthonormal set if all vectors in the set are mutually orthogonal and each…

Q: Find an equation E = 0 or inequality E‡0, where E' is an expression involving z and y, such that (x,…

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Q: Let 02 A = (-23). 4 Find the Jordan normal form J of A and give a matrix P such that J = P¹ AP.

A: We have to find the Jordan normal form J of A and also give a matrix P such that J = P-1AP

Q: Give an example of a non-zero subspace of R^4 which has dimension > 1 and does not contain any of…

A: Consider the example f(x) = {2 + x + x2}, this given polynomial has dimension 3 with the basis {1,…

Q: Explain how many variables should be included in a Vector autoregression?

A: Vector auto regression (VAR) is a stochastic process model used between multiple time series to…

Q: Consider matrix attatched and vectors attatched, Let w = Ax+y. Write down w2.

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Q: Obtain a vector orthonormal to the vectors i−j  and (1, 0, 1)

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Q: Write the equation of a subspace that passes through a point a ∈ R^d and is orthogonal to a given…

A: Let d=3  Now we will find the equation of subspace that passes through a point a€R^3 and orthogonal…

Q: how can one show that three vectors span 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: High order of tensor cannot be represented by matrix

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: tind the equation of a polynomial Shose graph, passes through the points t-1,7), (0,2)(2;4)

A: As per guidelines I had solved the first question. Thank you.

Q: Calculate the cross product. (9j - 5k) x (2j+ k) (Give your answer using standard basis vectors.…

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Q: Show that the vector of residuals and the vector of fitted values are orthogonal. Also, show…

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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: Vector A satisfies the vector transformation law, A'=SA. Show directly that its time derivative…

A: Given that a vector A satisfies the vector transformation A'=SA Query is to show that the derivative…

Q: Find x such that the matrix is singular. ^-[34] A = -6 -4 X =

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Q: W = (x:x= X1 X2 LX3 where x3 = 5x₁ + 8x2

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Q: Gram-Schmidt can be used to test for lin independence. What happens if you apply Gram-Schmidt to a…

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Q: 3. Find the Perron root, the left and the right Perron vectors for the matrix 0 such that a + 3 =…

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Q: Do vectors of the form {[ ]:x*+y*+z"<1} form a subspace of ie?? please explain what 37

A: The given set is                             xyz : x2+y2+z2≤1 Definition of Subspace: Let V be a…

Q: Problem 2 Is R^2 a subspace of R^3? Explain

A: R²={(x,y):x,y is in R} R³={(x,y,z):x,y,z is in R}

Q: Find NS(A) of the given matrix A, for which n is NS(A) a subspace of R^n? Sketch NS(A) in R2 or R3.…

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Q: if the chractrestic polynomial of a matrix A is p(^) = (^ +1)(^ - 2)2 then det(-A) +tr (A) = 1 7 -2…

A: As we have 3 roots of characteristics polynomial.

Q: True or False: two orthogonal vectors ER" must be linearly dependent? Please provide a "proof"

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: Your house is on a surface z = f(x, y) = 2x^2 − y^2 directly above the point (4, 3). You are washing…

A: The objective of this question is to find the direction in which the water runs off when it falls on…

Q: approximationto fx)=coshix using legendrepolynomials Find aquadratic least-squares approximati onto…

A: Using Legendre polynomials, We have to find a quadratic least-squares approximation f(x) = cosh(x).

Q: Determikne the values of c for which the vectors 2+2t+1: 2-t:2+t+ c2 linearly independent?

A: Given :S={t2+2t+1, 2-t, t2+t+c2}