document.write( "Question 171320: let A be a 5 X 3 matrix and B be a 3 X 5 matrix
\n" ); document.write( "a) is it possible to add A and B?..yes it is possible to add A and B
\n" ); document.write( "b) is it possible to do the mulitplication AB
\n" ); document.write( "c) is it possible to do the mulitpilcation BA?...of course is it possible to multiply A and B \n" ); document.write( "
Algebra.Com's Answer #126473 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
let A be a 5 X 3 matrix and B be a 3 X 5 matrix
\n" ); document.write( "a) is it possible to add A and B?
\n" ); document.write( "
\r\n" );
document.write( "No, because in order to add them, they must have exactly \r\n" );
document.write( "the same dimensions.\r\n" );
document.write( "

\n" ); document.write( "b) is it possible to do the multiplication AB?
\n" ); document.write( "
\r\n" );
document.write( "Yes because there are the same number of columns in the \r\n" );
document.write( "first matrix A, 5 x 3, as there are columns in B, the\r\n" );
document.write( "3 x 5 matrix.  That is when you write their dimensions\r\n" );
document.write( "in the order you are wanting to multiply them:\r\n" );
document.write( "\r\n" );
document.write( "        5 x 3  times  3 x 5 \r\n" );
document.write( "\r\n" );
document.write( "The inner dimensions are both the same, in this case 3.\r\n" );
document.write( "And their product will be a 5 x 5, the outer two\r\n" );
document.write( "dimensions.\r\n" );
document.write( "

\n" ); document.write( "c) is it possible to do the multipllication BA?
\n" ); document.write( "
\r\n" );
document.write( "Yes because there are the same number of columns in the \r\n" );
document.write( "first matrix B, 3 x 5, as there are columns in A, the\r\n" );
document.write( "5 x 3 matrix.  That is when you write their dimensions\r\n" );
document.write( "in the order you are wanting to multiply them:\r\n" );
document.write( "\r\n" );
document.write( "        3 x 5  times  5 x 3 \r\n" );
document.write( "\r\n" );
document.write( "the inner dimensions are both the same, in this case 5.\r\n" );
document.write( "And their product will be a 3 x 3, the outer two \r\n" );
document.write( "dimensions.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );