document.write( "Question 628447: Find the given element of the matrix product C = AB.
\n" ); document.write( "A=
\n" ); document.write( "[5,5,-3,0]
\n" ); document.write( "[1,-3,0,3]
\n" ); document.write( "[-2,3,1,5]
\n" ); document.write( "B=
\n" ); document.write( "[4,-2,1]
\n" ); document.write( "[3,1,0]
\n" ); document.write( "[-2,0,3]
\n" ); document.write( "[0,-1,1]
\n" ); document.write( "C23= \n" ); document.write( "

Algebra.Com's Answer #395715 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"C%5B23%5D\"$ would be the element in the second row and third column of C. This element will be the result of multiplying the second row of A:
\n" ); document.write( " $\"%28matrix%281%2C+4%2C+1%2C+-3%2C+0%2C3%29%29\"$
\n" ); document.write( "times the third column of B:
\n" ); document.write( " $\"%28matrix%284%2C+1%2C+1%2C+0%2C+3%2C+1%29%29\"$

\n" ); document.write( "So
\n" ); document.write( " $\"C%5B23%5D+=+1%2A1+%2B+%28-3%29%2A0+%2B+0%2A3+%2B+3%2A1+=+1+%2B+0+%2B+0+%2B+3+=+4\"$ \n" ); document.write( "

\n" );