Question: In Exercises 1-3, determine whether the linear transformation T is invertible by considering its matrix with respect to the standard bases. If T is invertible,

In Exercises 1-3, determine whether the linear transformation T is invertible by considering its matrix with respect to the standard bases. If T is invertible, use Theorem 6.28 and the method of Example 6.82 to find T-1.
1. T: P2 †’ P2 defined by T(p(x)) = p'(x)
2. T: P2 †’ P2 defined by T(p(x)) = p(x) + p'(x)
3. T: M22 †’ M22 defined by T(A) = AB, where

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