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 12

Data From Exercise 12

T : M₂₂ †’ M₂₂ defined by T(A) = A - A^T, B = C = {E₁₁,E₁₂,E₂₁,E₂₂,}, 

b. v = A = d