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You can put this solution on YOUR website!
\n" ); document.write( "Unfortunately, the other tutor wrote her first equation incorrectly (using the point (5,0) instead of (0,5); so all her work was wasted....
\n" ); document.write( "Given any system of equations, there are endless different paths to get to the solution using the matrix method (by which I assume you mean Gauss-Jordan elimination). Here is the path I followed.
\n" ); document.write( "Initial matrix:
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\n" ); document.write( "The first thing I'm going to do is switch rows 1 and 3, because the current row 1 is in exactly the form I want for row 3:
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\n" ); document.write( "First objective: make (1,1) entry equal to 1. I choose to avoid fractions where possible, so, instead of dividing row 1 by 9, I'm going to replace row 1 with row 1 minus 2 times row 2 (9-4*2 = 1):
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\n" ); document.write( "Next objective: get (2,1) and (3,1) entries equal to 0. (3,1) entry is already 0; to get (2,1) entry equal to 0, replace row2 with row 2 minus 4 times row 1:
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\n" ); document.write( "Next objective: get (2,2) entry equal to 1. The only choice is to divide row 2 by 6:
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\n" ); document.write( "Next objective: get (1,2) entry equal to 0 using the 1 in (2,2):
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\n" ); document.write( "Next objective: get (1,3) and (2,3) equal to 0 using the 1 in (3,3):
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\n" ); document.write( "The solution to the system is a=3, b=-2, c=5; the polynomial is
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