Question

If S and T are linear with S(v) = T(v) = v, then S(T(v)) = v or v^2? a) v b) v^2 c) v^3 d) 2v

Answer 1

Answer: Therefore, S(T(v)) simplifies to v.

In other words, S(T(v)) = v.

So, the correct answer is a) v.

Explanation:

If S(v) = T(v) = v for any vector v, we can determine the value of S(T(v)) by substituting T(v) into the function S.

Since T(v) = v, we can rewrite S(T(v)) as S(v). According to the given information, S(v) = v