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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

 


  this page updated 15-jul-23
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
Copyright © 2000 by Bruce Simmons
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