Respuesta :

Answer:

Option 2

Explanation:

<--> symbol means you must interchange (swap) Row 1 and Row 2. This means you must switch the two rows where row 1 (-1 1 2 | 7) takes place of row 2 (-3 2 1 | 4) and vice versa.

fichoh

The matrix operation denoted as R1<--->R2 means that the First and Second rows of the Augmented matrix are interchanged in the resulting matrix. Hence, the result should be;

[tex] \left[\begin{array}{cccc}-3&2&1&4\\-1&1&2&7 \\2&1&1&7\end{array}\right] [/tex]

We are interested in the first and second rows of the matrix (R1 and R2) respectively as the third row (R3) will remain unchanged.

  • R1 = - 1, 1, 2, 7

  • R2 = - 3, 2, 1, 4

Interchanging the row values as signified by the symbol ; R1<--->R2 :

  • R1 becomes : |-3, 2, 1, 4 |

  • R2 becomes : |-1, 1, 2, 7 |

Therefore, the correct matrix output after the transformation R1<--->R2 is

[tex] \left[\begin{array}{cccc}-3&2&1&4\\-1&1&2&7 \\2&1&1&7\end{array}\right] [/tex]

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