exam Maths Puzzle Numerical Ability

if 16 is the cost of a cd but there is a 16% discount wht is the new price

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Let u and v be vectors in Rn, and let T be a linear operator on Rn. Prove that T(n).T(v)=n.v if and only if A(transpose)=A(inverse), where A is the standard matrix for T. Find the slope of any line parallel to the line through points (18,3) and (6,4)
How do I do this? Please help ;0/