MA111Wk1Lect4 - Step 1 Write the augmented matrix Step 2...

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MA111: Linear Algebra and Calculus Week 1 : Lecture 4 SCHOOL OF COMPUTING, INFOMATION AND MATHEMATICAL SCIENCES 04/11/16 KSR 1
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Tutorial Week 2 Section 1.1 7, 11, 13, 27, 37, 41, 43, 71, 77, 80 Section 1.2 19-24, 25, 27. 04/11/16 KSR 2
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Reduced Row Echelon Form A matrix in row-echelon form is in reduced row-echelon form if every column that has a leading 1 has zeros in every position above and below its leading 1. 04/11/16 KSR 3
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Example 1 0 0 0 1 0 0 0 1 a b c 04/11/16 KSR 4 Reduced Row Echelon Form
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Gauss-Jordan Elimination
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Unformatted text preview: Step 1 Write the augmented matrix. Step 2 Use EROs to rewrite the augmented matrix in reduced row-echelon form. Step 3 Find the solution. 04/11/16 KSR 5 Example Solve using Gauss-Jordan Elimination method: 04/11/16 KSR 6 8 2 7 2 y x y x Example Solve : 04/11/16 KSR 7 1 2 3 1 2 3 1 2 3 2 9 2 4 3 1 3 6 5 0 x x x x x x x x x...
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