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Which elementary row operation will reduce the x–element in row 2 to 0 in this matrix?

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MrRoyal

The elementary row operation that will reduce the x–element in row 2 to 0 in this matrix is -2R1 + R2

How to determine the elementary row operation?

The complete question is added as an attachment

The matrix is given as:

1   1    1       12

2  1    0     14

2  0   3      19

Rewrite as:

x   y    z      

1   1    1       12

2  1    0     14

2  0   3      19

So, the x-element of the second row is

x = 2

When the first row is multiplied by negative 2 and added to the second row, the x-element of the second row is reduced to 0

This is represented as;

-2R1 + R2

i.e.

-2(1   1    1       12)

+   2  1    0     14

---------------------------

    0  -1   -2    -10

Hence, the elementary row operation that will reduce the x–element in row 2 to 0 in this matrix is -2R1 + R2

Read more about matrix at

https://brainly.com/question/11989522

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