Question 58) In this question, use Theorem 1.8.2 to show that T is not a matrix transformation. T(x, y) = (x²,y)
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- In Exercises 1-12, determine whether T is a linear transformation. T:FF defined by T(f)=f(x2)Find a basis B for R3 such that the matrix for the linear transformation T:R3R3, T(x,y,z)=(2x2z,2y2z,3x3z), relative to B is diagonal.Let T:P2P3 be the linear transformation T(p)=xp. Find the matrix for T relative to the bases B={1,x,x2} and B={1,x,x2,x3}.
- Apply the transformation T (x, y) = (0.8x − 0.6y, 0.6x + 0.8y) to the scalene triangle whose vertices are (0, 0), (5, 0), and (0, 10). What kind of isometry does T seem to be? Be as specific as you can, and provide numerical evidence for your conclusion.Sketch the image of the unit square [a square with vertices at (0, 0), (1, 0), (1, 1), and (0, 1)] under the specified transformation.T is the expansion represented by T(x, y) = (5x, y).here b = 1 so find the laplace transformation