document.write( "Question 95450This question is from textbook \n" );
document.write( ": Prove that the set of all 3 x 3 matrices with real entries of the form \n" );
document.write( "[ 1 a b \n" );
document.write( " 0 1 c \n" );
document.write( " 0 0 1]\r \n" );
document.write( " \n" );
document.write( "\n" );
document.write( " is a group.\r \n" );
document.write( "\n" );
document.write( "(Multiplication is defined by [ 1 a b \n" );
document.write( " 0 1 c \n" );
document.write( " 0 0 1] x \r \n" );
document.write( "\n" );
document.write( " [1 a' b' \n" );
document.write( " 0 1 c' \n" );
document.write( " 0 0 1] \n" );
document.write( " \n" );
document.write( " [ 1 (a+a') (b'+ac'+b \n" );
document.write( " 0 1 c'+c \n" );
document.write( " = 0 0 1 ] \r \n" );
document.write( "\n" );
document.write( "this group, sometimes called the Heisenberg group after the Nobel Prize winning physcicist Werner Heisenberg, is intimately related to the Heisenberg Uncertainty Principle of quantum physics. )\r \n" );
document.write( "\n" );
document.write( " PLEASE HELP DUE TODAY \n" );
document.write( "
![\"\"](\"/images/stars/stars-05.gif\")
