document.write( "Question 63037: hello. I would like help on finding the inverse of a 3x3 matrix. my textbook does not explain how to find it.
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document.write( "thank you
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document.write( "Kyle \n" );
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Algebra.Com's Answer #43853 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! This is one way to do it. \n" ); document.write( "1st: Write down your 3 x 3 matrix which I will call \"A\". \n" ); document.write( "2nd: Draw a vertical line to the right of the 3rd column. \n" ); document.write( "3rd: Write the 3 x 3 identity matrix to the right of the line \n" ); document.write( "The 1st row of the identity should be to the right of the 1st row of \"A\". \n" ); document.write( "The 2nd row of the identity should be to the right of the 2nd row of \"A\" \n" ); document.write( "same for the 3rd row. \n" ); document.write( "4th: Using the Jordan elimination process convert A to the identity matrix \n" ); document.write( "following this rule: \"Whatever you do to a row of A do that to the corresponding row to the right\" \n" ); document.write( "5th: As \"A\" becomes the identity matrix, the identity matrix on the right \n" ); document.write( "becomes the inverse of \"A\". \n" ); document.write( "---------- \n" ); document.write( "Comment: There are other ways to generate A inverse involving determinants, \n" ); document.write( "minors, and co-factors. I will not go into that process. \n" ); document.write( "Also, if you have a scienfic calculator it may have instructions in its manual \n" ); document.write( "which show you how to find the inverse of a matrix. \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |