Additive Inverse of a Matrix
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