Question: 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

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.

T in Exercise 11

Data From Exercise 11

T : M₂₂ †’ M₂₂ defined by T(A) = AB - BA, where 1 -1 B = -1

B = C = {E₁₁,E₁₂,E₂₁,E₂₂,},

v = A = d

1 -1 B = -1 v = A = d

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