document.write( "Question 1159574: Find a non-zero 2×2 matrix such that
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Algebra.Com's Answer #782637 by ikleyn(52810)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You are given this matrix equation\r\n" );
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document.write( "    \"%28matrix%282%2C2%2C+-9%2C-3%2C++18%2C6%29%29\" * X = \"%28matrix%282%2C2%2C+0%2C0%2C++0%2C0%29%29\",\r\n" );
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document.write( "where X is 2x2 unknown NON-ZERO matrix to find.\r\n" );
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document.write( "Notice that the given matrix on the left of matrix X has the left column exactly THREE TIMES as its right column.\r\n" );
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document.write( "Therefore, our task is to find the unknown matrix X in such a way that, applied to the left-most matrix as a factor from the right, \r\n" );
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document.write( "it would produce the zero 2x2-matrix.\r\n" );
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document.write( "It leads to   \r\n" );
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document.write( "    X = \"%28matrix%282%2C2%2C+1%2C1%2C++-3%2C-3%29%29\".      (1)\r\n" );
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document.write( "Now, check it on your own that\r\n" );
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document.write( "    \"%28matrix%282%2C2%2C+-9%2C-3%2C++18%2C6%29%29\" * \"%28matrix%282%2C2%2C+1%2C1%2C++-3%2C-3%29%29\" = \"%28matrix%282%2C2%2C+0%2C0%2C++0%2C0%29%29\".\r\n" );
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document.write( "So,  the matrix  (1)  is your  ANSWER.\r\n" );
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