(ED).=Let T-x +9y+ 3z- 2x + 4y + 5z6x 8y + 2zDetermine if the given function is a linear transformation. Find a matrix representation A such thatT(x)Ax, or indicate that the transformation is not linear.O A ==O Not a linear transformation

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Answered: (ED) - Let T - x + 9y + 3z - 2x + 4y +…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3 Let T : R4 → R² be the linear transformation corresponding to the standard matrix -1 -2 -4 What are the domain and codomain of T? O A. The domain is R² and the codomain is R4 О в. The domain and codomain are both R? c. The domain is R4 and the codomain is R? O D. The domain and codomain are both R4
I only need help with part D. I will rate thank you!
Show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1, X2, ... are not vectors but are entries in vectors. T(X1,X2.X3) = (X1 - 8x2 + 7x3, X2 - 3x3) A = (Type an integer or decimal for each matrix element.)
Let the transformation T : IR³ →R² be given by the formula T(x,,X2,X3) = (2x, –x,, X, +3x;). Find the standard matrix of this transformation and write it in matrix multiplication form. Check correctness of your answer for the point (1,4,-3).
Find the B-matrix for the transformation xAx, where B={b₁,b₂}- -5 - 1 2 = *[*) * * C A = b₁ b₂ 5 The B-matrix of the given transformation is
A. Determine the matrix representation for g if it is a linear transformation. If not, make a minor change to g to convert it to a linear transformation and demonstrate that your new function is a linear transformation. b. Is g a linear transformation or not. If yes, demonstrate that it meets the conditions for a linear transformation or explain why it does not.
Determine whether the function involving the n × n matrix A is a linear transformation. T: Mn,n → Mn,n, T(A) = AX − XA, where X is a fixed n × n matrix

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(ED) - Let T - x + 9y + 3z - 2x + 4y + 5z - 6x 8y + 2z Determine if the given function is a linear transformation. Find a matrix representation A such that Ax, or indicate that the transformation is not linear. T(x) ΟΑ = = O Not a linear transformation