I've got two questions on a handout that we didn't cover in class...
I guess I'm not understanding what it means to be surjective..
on 5a, would the first blanks be Let Av be in the codomain R^2?
https://gyazo.com/daeb403401c00c164ecb7b876a03a1fc
I've got two questions on a handout that we didn't cover in class...
I guess I'm not understanding what it means to be surjective..
on 5a, would the first blanks be Let Av be in the codomain R^2?
https://gyazo.com/daeb403401c00c164ecb7b876a03a1fc
Surjective is a fancy word for onto.
So for any point $\displaystyle \left[ {\begin{array}{*{20}{c}} a\\ b \end{array}} \right]$ you must show that there is a point $\displaystyle \left[ {\begin{array}{*{20}{c}} x\\ y \end{array}} \right]$ such that $\displaystyle T_A\left[ {\begin{array}{*{20}{c}} x\\ y \end{array}} \right]$=$\displaystyle \left[ {\begin{array}{*{20}{c}} a\\ b \end{array}} \right]$