Question

Suppose t: R²→R³ is a linear transformation. Let u and v be the vectors given below, and suppose that t(u) and t(v) are as given. Find t(2u-3v).

Answer 1

To find t(2u-3v), substitute the values of t(u) and t(v) into the expression 2u-3v and apply t.

Step-by-step explanation:

To find t(2u-3v), we first need to find the values of t(u) and t(v). Once we have those values, we can substitute them into the expression 2u-3v and apply t. Let's assume that t(u) = tu and t(v) = tv. So, we have t(2u-3v) = t(2u) - t(3v). We can now substitute the values of tu and tv into this expression and simplify to get the final answer.