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 Additive Inverse of a Matrix The matrix obtained by changing the sign of every matrix element. The additive inverse of matrix A is written –A. Note: The sum of a matrix and its additive inverse is the zero matrix.   $A = \left[ {\begin{array}{*{20}{c}}2&{ - 5}&4\\1&0&{ - 11}\end{array}} \right]$ $- A = \left[ {\begin{array}{*{20}{c}}{ - 2}&5&{ - 4}\\{ - 1}&0&{11}\end{array}} \right]$               See also Matrix addition