document.write( "Question 1017168: Please help! 1) Find the inverse of the matrix [ -9 5 6 -3 ]
\n" ); document.write( "2) solve the following equation
\n" ); document.write( " | 0 0 -1 |
\n" ); document.write( " | 3 x 0 | =x^2
\n" ); document.write( " | 2 0 3 |
\n" ); document.write( "

Algebra.Com's Answer #633514 by ikleyn(52835)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Please help! 1) Find the inverse of the matrix [ -9 5 6 -3 ]
\n" ); document.write( "2) solve the following equation
\n" ); document.write( " | 0 0 -1 |
\n" ); document.write( " | 3 x 0 | =x^2
\n" ); document.write( " | 2 0 3 |
\n" ); document.write( "-----------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Co-factor the determinant along the first row.\r\n" );
document.write( "(see the lesson Co-factoring the determinant of a 3x3 matrix in this site to learn how to do it).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the determinant is (-1)*det\"%28matrix%282%2C2%2C+3%2C+x%2C+2%2C+0%29%29\" = (-1)*(-2x) = 2x.\r\n" );
document.write( "\r\n" );
document.write( "So your equation is \r\n" );
document.write( "\r\n" );
document.write( "\"x\" = \"x%5E2\",\r\n" );
document.write( "\r\n" );
document.write( "and its roots are  x=0  and/or  x = 1.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Regarding your first question, do you know that only square matrices have the inverse?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );