Exercise 3.3.6

Question

Let $T : R^3 	o R^2$ be defined by $T(a, b, c) = (a+b, 2a-c)$. Determine $T^{-1} (1, 11)$.

Jephian C.-H. Lin · Accepted Answer

If $T(a,b,c)=(a+b,2a-c)=(1,11)$, then we get $a+b=1$ and $2a-c=11$. This means the preimage set would be 
$$T^{-1}(1,11)=\{(a,1-a,2a-11):a\in \mathbb{R}\}.$$

Exercise 3.3.6

Answers

Comments

Exercise 3.3.6

Answers

Comments

Add answer