(a) find the standard matrix A for the linear transformation T, (b) use A to find the image of the vector v, and (c) sketch the graph of v and its image.T is the reflection in the vector w = (3, 1) in R2: T(v) = 2 projwv − v, v = (1, 4).

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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
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(a) find the standard matrix A for the linear transformation T, (b) use A to find the image of the vector v, and (c) sketch the graph of v and its image.

T is the reflection in the vector w = (3, 1) in R2: T(v) = 2 projwv − v, v = (1, 4).

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