Question 985695


Your example is 


{{{(matrix(2,2, 2, 6, 1, 3))}}}x{{{(matrix(2,2, 4, -6, -1, 3))}}} = {{{(matrix(2,2, 2, 6, 1, 3))}}},


and your question is:   Does it implies that the matrix   {{{(matrix(2,2, 4, -6, -1, 3))}}}   is identical?


The answer is &nbsp;<B>NO</B>.


The matrix {{{(matrix(2,2, 4, -6, -1, 3))}}} is not identical.


The operation of multiplication in matrices has different properties than multiplication in real or complex numbers. 


In the real domain the equality &nbsp;a*b = b&nbsp; does imply &nbsp;a = 1 &nbsp;(if &nbsp;b&nbsp; is not zero). 


In the matrix domain it is not so.