Since we have sin(r +y) sin(r) + sin(y), the function sin(r) is a linear transformation.
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- 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.Determine whether the linear transformation is invertible. If it is, find its inverse.T(x, y) = (2x, 0)Determine whether the linear transformation is invertible. If it is, find its inverse.T: R2→R2, T(x, y) = (x cos θ − y sin θ, x sin θ + y cos θ)