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(Solved): Please show me step by step. I'm new for this course. 3 -1 4 1 -2 5 ...



Please show me step by step. I'm new for this course.

3 -1 4
1 -2 5
-2 1 1

Use the given row operations to put the matrix into row reduced echelon form.

First do ????1 ? ????2 to get a leading 1 to work with (it’s easier than introducing fractions right away)

[]

Now use the leading 1 in the first row, first column to eliminate the entries below it by doing ?3????1 + ????2 ? ????2 and 2????1 + ????3 ? ????3.

[]

Now do 1/5 ????2 ? ????2 to get a leading 1 in the entry in the second row second column.

[]
Now do 3????2 + ????3 ? ????3 to eliminate the entry in the third row second column. (Note that you’re now in

echelon form!)

[]

Now do 5/22 ????3 ? ????3 to get a leading 1 in the entry in the third row, third column.

[]

Now do both 11/5 ????3 + ????3 ? ????2 and ?5????3 + ????1 ? ????1 to eliminate the entries in the first and second 5

rows, third row.

Lastly do 2????2 + ????1 ? ????1 to eliminate the entry in the first row, second column. []



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