document.write( "Question 1006562: If the matrices A and B are two invertible matrices, then (A + B) is also invertible
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document.write( "is this statement true or false and why? \n" );
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Algebra.Com's Answer #622673 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "False.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For a given invertible matrix A take the matrix B as B = -A.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then B is invertible, and A + B = 0 (zero matrix), which is not invertible.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |