Questiond : Linear transformations can be used in computer graphics to modify certain shapes. Consider the linear transformation T:R + R2 below such that T(A) = B , where A represents the square and B...


Questiond : Linear transformations can be used in computer graphics to modify certain shapes.<br>Consider the linear transformation T:R + R2 below such that T(A) = B , where A represents the<br>square and B the parallelogram below.<br>1.<br>A<br>Find the matrix of T.<br>Apply the linear transformation T to C (the triangle below) and plot D = T(C) ?<br>Does the linear transformation T preserve the area in the two examples shown? Does it preserve the<br>perimeter?<br>Does the linear transformation T preserve the area of every triangle? Does it preserve the perimeter of<br>every triangle? Justify your answers.<br>

Extracted text: Questiond : Linear transformations can be used in computer graphics to modify certain shapes. Consider the linear transformation T:R + R2 below such that T(A) = B , where A represents the square and B the parallelogram below. 1. A Find the matrix of T. Apply the linear transformation T to C (the triangle below) and plot D = T(C) ? Does the linear transformation T preserve the area in the two examples shown? Does it preserve the perimeter? Does the linear transformation T preserve the area of every triangle? Does it preserve the perimeter of every triangle? Justify your answers.

Jun 05, 2022
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