The equation \[\left[ {\begin{array}{*{20}{c}} 2&{ - 2} \\ 1&{ - 1} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{{\text{x}}_1}} \\ {{{\text{x}}_2}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 0 \\ 0 \end{array}} \right]\]    has

A. no solution

B. only one solution \[\left[ {\begin{array}{*{20}{c}} {{{\text{x}}_1}} \\ {{{\text{x}}_2}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 0 \\ 0 \end{array}} \right]\]

C. non-zero unique solution

D. multiple solutions

Answer: Option D