![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Multiplication of two matrices possible if the number of columns in the first matrix equals the number of rows in the second matrix.
\The dimensions of the matrix X are ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=30f8f9bee1104ce517e7c48d252d49bd.png\")
and the number of columns in the matrix X is 6.
The dimensions of the matrix Y are ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=18eac51362a21e9344fa545c24f33d8a.png\")
and the number of the rows in the matrix Y is 6.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
The number of columns in the matrix X equals the number of rows in the matrix Y.
\So, matrix product XY is possible.
\Its dimensions are ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d58d2569bb0eb49f711c7c9ce9333512.png\")
.
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=00b82fbd6561c807cf36cc3591dd6c52.png\")
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The matrix product XY is defined and matrix XY dimensions are ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d58d2569bb0eb49f711c7c9ce9333512.png\")
.