 Solution

ID: past-exam-of-the-options-i-course-of-the-university-of-oxford/2013/p/2/a/solution

R_{2} \leftarrow R_{2} - 2 R_{1}

and

R_{3} \leftarrow R_{3} - 4 R_{1}

200113115 .

The second pivot is one;

R_{3} \leftarrow R_{3} - 3 R_{2}

U = 200110112 .

Both pivots used for division are nonzero, so no row exchange is needed.

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