For each of the following transformations, determine T(2) geometrically (meaning using the description, not by finding the matrix.) Is e2 an eigenvector? (Yes or No). If Yes, write the corresponding eigenvalue. (a) T₁ = reflection across the x-axis. (b) T2= vertical stretch by 2 (c) T3 rotation by 90° counterclockwise. (d) T4 = rotation by 180° counterclockwise. (e) T5 (orthogonal) projection onto the y-axis. =

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A: Follow the answer below.

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A: we have to find the eigenvalues and the corresponding eigenvectors for the given matrix.

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Q: [x =3x+2y y = 6x-y

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Q: a. Select all the statements below that describe eigenvectors for the linear transformation T. There…

A: from domain we have seen that and and form codomain we have seen that  reflect each of domain with…