Question: T(x, y) = (-y,x) defines a linear operator on R?. {O } (a) Find the matrix A = [T]s for the standard basis S

T(x, y) = (-y,x) defines a linear operator on R?. {O }

T(x, y) = (-y,x) defines a linear operator on R?. {O } (a) Find the matrix A = [T]s for the standard basis S = %3D (b) Find the matrix A' = [T]; for the basis 3 = {HIRI (c) Describe the linear operator geometrically.

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