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**Slyy23** I have this exercise that I'm having trouble with. Just to be clear, this is not a homework assignment, it's just an exercise from my book that will help me understand better what I have to do. So I'm not asking anyone to do a homework in my place, it's just for practice.

From previous exercises, I've already obtained the equations of a plane and a line.

Δ = x + 5y + 5z = 0 (plane)

and

x = t , y = 3t , z = 5t (line)

(a) Give A = [T]c

(b) Check that tr(A) = 2 and det(A) = 0

(c) Give a relation between the column of A

(d) What does 2T - id represent^

Thanks a lot to whoever can help me!