document.write( "Question 176018This question is from textbook Algebra 2
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Algebra.Com's Answer #131148 by Edwin McCravy(20056)\"\" \"About 
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Can you help me solve the matrix equation.
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document.write( "Method 1:  Using the inverse:\r\n" );
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document.write( "Find the inverse of \"%28matrix%282%2C2%2C2%2C4%2C0%2C1%29%29\" \r\n" );
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document.write( "Do you know how to find the inverse of a 2x2 matrix?\r\n" );
document.write( "If not post again asking how.  Or use method 2 below.\r\n" );
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document.write( "The inverse of \"%28matrix%282%2C2%2C2%2C4%2C0%2C1%29%29\" is \"%28matrix%282%2C2%2C1%2F2%2C-2%2C0%2C1%29%29\"\r\n" );
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document.write( "Left-multiply both sides by this inverse:\r\n" );
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document.write( "\"matrix%281%2C3%2CX%2C+%22=%22%2C+%28matrix%282%2C3%2C-4%2C2%2C-7%2C3%2C-1%2C5%29%29%29\"\r\n" );
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document.write( "Method 2:  equating corresponding elements:\r\n" );
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document.write( "The right side is a 2x3 matrix.\r\n" );
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document.write( "The 2x2 matrix on the left side must be right \r\n" );
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document.write( "multiplied by a 2x3 matrix to get a 2x3 matrix\r\n" );
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document.write( "Let \"X+=+%28matrix%282%2C3%2Ca%2Cb%2Cc%2Cd%2Ce%2Cf%29%29\" be the\r\n" );
document.write( "required 2x3 matrix. Then, substituting,\r\n" );
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document.write( "(matrix(2,3,a,b,c,d,e,f))\r\n" );
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document.write( "We equate corresponding elements on the 2nd row on both\r\n" );
document.write( "sides:\r\n" );
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document.write( "\"d+=+3\", \"e=-1\", \"f=5\"\r\n" );
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document.write( "Substituting those:\r\n" );
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document.write( "We equate corresponding elements on the 1st row on both\r\n" );
document.write( "sides:\r\n" );
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document.write( "So \r\n" );
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document.write( "\"X+=+%28matrix%282%2C3%2Ca%2Cb%2Cc%2Cd%2Ce%2Cf%29%29\"\r\n" );
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document.write( "\"X+=+%28matrix%282%2C3%2C-4%2C2%2C-7%2C3%2C-1%2C5%29%29\"\r\n" );
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document.write( "Edwin
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