document.write( "Question 151663: Help! What is an augmented matrix? Give an example based on a system of equations. Thank You! \n" ); document.write( "

Algebra.Com's Answer #111491 by jim_thompson5910(35256) $\"\"$ $\"About$

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Let's say that we have the system\r
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\n" ); document.write( "\n" ); document.write( "You can write this system in a more compact form by ignoring the variables and focusing on the coefficients like this:\r
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\n" ); document.write( "\n" ); document.write( "Note: I simply wrote each coefficient in each element of the matrix. So for the first row I took the coefficients 3,2, and 5 and the value on the right side 10 and wrote them in the first row.\r
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\n" ); document.write( "\n" ); document.write( "The reason why it's called an \"augmented\" matrix, is because the original matrix (the left hand matrix) is joined with the right hand column to form a new \"augmented\" matrix. \n" ); document.write( "

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