14111cn2.7

# 14111cn2.7 - 3 Choose the next pivot element(diagonal down...

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c ± Kendra Kilmer August 18, 2011 To put a matrix in Row Reduced Form , there are three valid Row Operations : 1. Interchange any two rows ( R i R j ) 2. Replace any row by a nonzero constant multiple of itself ( cR i ) 3. Replace any row by the sum of that row and a constant multiple of any other row ( R i + cR j ). Steps for Gauss Jordan Elimination: 1. Begin by transforming the top left corner element, a 11 , into 1. This is your ﬁrst pivot element. 2. Next, transform the other elements in its column into zeros using the 3 row operations.
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Unformatted text preview: 3. Choose the next pivot element (diagonal down from the ﬁrst pivot element) 4. Turn this 2nd pivot element into a 1, and transform the rest of its column into zeros. 5. Continue until the coefﬁcient matrix resembles the identity matrix(1’s along the main-diagonal and 0’s every-where else.) Example 3: Solve the following system of equations using Gauss Jordan Elimination: 3 x + y = 1-7 x-2 y =-1 7...
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