Question 1185218
Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single
cell.)<pre>
{{{A}}}{{{""=""}}}{{{(matrix(2,2,-2,-1,1,2))}}}

{{{B}}}{{{""=""}}}{{{(matrix(2,2,3,1,2,2))}}}


{{{AB}}}{{{""=""}}}{{{(matrix(2,2,-2,-1,1,2))(matrix(2,2,3,1,2,2))}}}{{{""=""}}}{{{(matrix(2,2,(-2)(3)+(-1)(2),(-2)(1)+(-1)(2),(1)(3)+(2)(2),(1)(1)+(2)(2)))}}}{{{""=""}}}{{{(matrix(2,2,-6-2,-2-2,3+4,1+4))}}}{{{""=""}}}{{{(matrix(2,2,-8,-4,7,5))}}}

{{{BA}}}{{{""=""}}}{{{(matrix(2,2,3,1,2,2))(matrix(2,2,-2,-1,1,2))}}}{{{""=""}}}{{{(matrix(2,2,(3)(-2)+(1)(1),(3)(-1)+(1)(2),(2)(-2)+(2)(1),(2)(-1)+(2)(2)))}}}{{{""=""}}}{{{(matrix(2,2,-6+1,-3+2,-4+2,-2+4))}}}{{{""=""}}}{{{(matrix(2,2,-5,-1,-2,2))}}}

Edwin</pre>