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Line Matrix reduced form level .. Getting there ..?

Hello, I have an augmented matrix to solve. Here the matrix: 7 -5 -1 -3 3 3 1 3 10 and I'm putting it online form staggered reduced. In matlab, I can write: Rref Rref to prove that the matrix 1 0 0 0 1 0 0 0 1 ie, inconsistent and has no solutions. However, my teacher asked me to show all work, including all search operations used to achieve Rref .. and here are the ones where I'm stuck .. Pperations I know what I can use, but I'm not sure I should use to achieve this Rref .. Please could someone please show me all the intermediate steps of how to find the matrix Rref previous and telling each step what are you doing? Thank you lot?

7 -5 -1 -3 3 3 1 3 10 R2-R2> / 3 and <R1 -> R3 1 3 10 -1 1 1 -1 7 -5-R2> R2 + R3-R1 and> 7R1 R3-1 3 10 0 4 11 0 -26 -71 R3 -> 2R3 + 13R2 1 3 10 0 4 11 0 0 1 R2 -> R2 – 11R3 March 1 1910 0 4 0 0 0 1 R2 -> R2 / 4 1 3 10 0 1 0 0 0 1 R1 – > R1 – 3R2 – 10R3 1 0 0 0 1 0 0 0 1 =)

Lec 2 | MIT 18.06 Linear Algebra, Spring 2005

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