Question4 : Linear transformations can be used in computergraphics to modify certain shapes. Consider the lineartransformation T : R² → R² below such that T(A) = B,where A represents the square and B the parallelogram below.AByoFind the matrix of T.Apply the linear transformation T to C (the triangle below) andplot D = T(C)?Does the linear transformation T preserve the area in the twoexamples shown? Does it preserve the perimeter?Does the linear transformation T preserve the area of everytriangle? Does it preserve the perimeter of every triangle?Justify your answers.TO

Answered: Image /qna-images/answer/eb0a9141-3aa3-4336-ab19-fa6e3a0335dc.jpg

Answered: Find the matrix of T. Apply the linear…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Find the standard matrix of the linear transformation. -y x + 4y 6x 2y
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Find the kernel of the linear transformation. (If all real numbers are solutions, enter REALS.) T: R* - R*, T(x, y, z, w) = (z, x, w, y) ker(7) = { REALS :X, Y, z, w ER
Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. A. T(A) = det(A) from R5x5 to R B. T(A) = trace(A) from R6x6 to R 1 C. T(A) = D. T(A) = AT from R3x5 to R5x3 E. T(A) = A7 from R 4x4 to R4x4 F. T(A) = 6A from R4x5 4x5 to R4 2₁ A from R2x3 to R2x3
Please explain how to do question B, D, and E. I am not sure how to show rotation by a matrix transformation. Thank you for your help.
Which of the following transformations are linear? Select all of the linear transformations. (There may be more than one correct answer) Picture attached
Topic is Linear Transformation: Instruction: Provide the image for v and the pre-image for u of the given linear transformation: a. T: R2 -> R2, T(v1 ,v2) = (v1 , v1 + 2v2) , where v = (2,3), u = (4,12) b. T: R3 -> R3, T(v1 , v2 , v3 ) = (0 , v1 + v2 , v2 + v3) , v = (-3,2,5) , u = (0,2,5)
Determine whether the function is a linear transformation. a b T: M2,2 → R, T(A) = a + b - c- d, where A = O linear transformation O not a linear transformation Need Help? Read It

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