For each of the following linear operators L onR2, determine the matrix A representing L withrespect to {e1, e2} and the matrix B representing L with respect to{u1 = (1, 1)T , u2 = (−1, 1)T }: L (x) = x2e2

The given T is a linear transformation from R² into R². Show that T is invertible and find a formula for T¹. T(x1,x2) = (6x₁-9x2,- 6x₁ +5x₂) To show that T is invertible, calculate the determinant of the standard matrix for T. The determinant of the standard matrix is (Simplify your answer.)

I need help with the third part

[101] Find the inverse of the matrix C = 01 1 using L2 1 4] cofactors. Show all your work.