document.write( "Question 1159507: Find a non-zero 2×2 matrix such that:
\n" ); document.write( "[-9, -3] * [] = [0, 0]
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Algebra.Com's Answer #852202 by ikleyn(52790)\"\" \"About 
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\n" ); document.write( "Find a non-zero 2×2 matrix such that:
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document.write( "Looking at the first (2x2)-matrix, you may notice that its first column is three times the second column.\r\n" );
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document.write( "It tells you to take the first column of the second (2x2)-matrix as  \"%28matrix%282%2C1%2C+1%2C-3%29%29\".\r\n" );
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document.write( "Looking again at the first (2x2)-matrix, you may notice that its second column is one third times the first column.\r\n" );
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document.write( "It tells you to take the second column of the second (2x2)-matrix as  \"%28matrix%282%2C1%2C+1%2F3%2C-1%29%29\".\r\n" );
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document.write( "Thus, the second matrix can be taken as  \"%28matrix%282%2C2%2C+1%2C+1%2F3%2C++-3%2C+-1%29%29\".\r\n" );
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document.write( "Now you may check, making handle calculations, that\r\n" );
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document.write( "    \"%28matrix%282%2C2%2C+-9%2C-3%2C++18%2C+6%29%29\"*\"%28matrix%282%2C2%2C+1%2C+1%2F3%2C++-3%2C+-1%29%29\" = \"%28matrix%282%2C2%2C+0.0%2C+0.0%2C+0.0%2C+0.0%29%29\",   QED.\r\n" );
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\n" ); document.write( "\n" ); document.write( "This way, the problem is just solved, and one instance matrix is found.\r
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\n" ); document.write( "\n" ); document.write( "But this solution is not a unique.\r
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\n" ); document.write( "\n" ); document.write( "Every other matrix, c-times the found, where 'c' is any non-zero constant value, has the same property.\r
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