document.write( "Question 156060: Let A and B be 2 × 2 matrices. Let [ 2 3 ] and [ -4 5 ] be the first and second rows of A, respectively. Let [ 2 3 ] and [ -4 5 ] be the first and second columns of B, respectively. If C = AB, then | C | =\r
\n" ); document.write( "\n" ); document.write( "a. 484
\n" ); document.write( "b. 452
\n" ); document.write( "c. 582
\n" ); document.write( "d. -724 \n" ); document.write( "

Algebra.Com's Answer #114944 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"A=%28matrix%282%2C2%2C2%2C3%2C-4%2C5%29%29\"$
\n" ); document.write( " $\"B=%28matrix%282%2C2%2C2%2C-4%2C3%2C5%29%29\"$
\n" ); document.write( " $\"C=AB=%28matrix%282%2C2%2C13%2C7%2C7%2C41%29%29\"$
\n" ); document.write( " $\"abs%28C%29=13%2A41-7%2A7=533-49=484\"$
\n" ); document.write( "a) 484. \n" ); document.write( "

\n" );