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If matrix $A = \left[ {\begin{array}{*{20}{c}}1&{ - 1}\\1&1\end{array}} \right],$ then

• A
  $A' = \left[ {\begin{array}{*{20}{c}}1&{\,\,1}\\1&{ - 1}\end{array}} \right]$
• B
  ${A^{ - 1}} = \left[ {\begin{array}{*{20}{c}}{\,\,1}&1\\{ - 1}&1\end{array}} \right]$
• ✓
  $A.\,\,\left[ {\begin{array}{*{20}{c}}{\,\,1}&1\\{ - 1}&1\end{array}} \right] = 2I$
• D
  $\lambda A = \left[ {\begin{array}{*{20}{c}}\lambda &{ - \lambda }\\1&{ - 1}\end{array}} \right]$where $\lambda$ is a non zero scalar