The standard ordered basis of ℝ2 is {e1, e2}. Let T : ℝ2 → ℝ2 be the linear transformation such that T reflects the points through the line x1 = -x2. The standard matrix of T is:
1
\(\left( {\begin{array}{*{20}{c}} 0&1\\ 1&0 \end{array}} \right)\)
2
\(\left( {\begin{array}{*{20}{c}} 0&-1\\ -1&0 \end{array}} \right)\)
3
\(\left( {\begin{array}{*{20}{c}} -1&0\\ 0&-1 \end{array}} \right)\)
4
\(\left( {\begin{array}{*{20}{c}} 1&0\\ 0&1 \end{array}} \right)\)