(a) Find the matrix representation of L(x), the linear operator on R? that first rotates by 30° clockwise, that shears horizontally by a factor 2. (b) Apply this operator to the vectors u = and v = (c) Draw u, L(u), v, and L(v) in the plane.

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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(a) Find the matrix representation of L(x), the linear operator on R? that first rotates by 30° clockwise, that shears
horizontally by a factor 2.
(b) Apply this operator to the vectors
u =
and v =
(c) Draw u, L(u), v, and L(v) in the plane.
Transcribed Image Text:(a) Find the matrix representation of L(x), the linear operator on R? that first rotates by 30° clockwise, that shears horizontally by a factor 2. (b) Apply this operator to the vectors u = and v = (c) Draw u, L(u), v, and L(v) in the plane.
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