Question: Let W be the vector space of upper triangular 2 2 matrices. (a) Find a linear transformation T: M22 M22 such that ker(T)

Let W be the vector space of upper triangular 2 × 2 matrices.
(a) Find a linear transformation T: M22 → M22 such that ker(T) = W.
(b) Find a linear transformation T: M22 → M22 such that range(T) = W.

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