A student performed row operations on a matrix as shown below.
Which operations did the student perform?





Answer:
Option A is correct i.e 2R2+R3 -> R3
Step-by-step explanation:
The given matrix is:
[tex]\left[\begin{array}{ccc}-4&1&2&4\\0&-1&3&1\\3&2&4&5\end{array}\right][/tex]
If we perform the operation 2R2 + R3 we get the result given i.e
[tex]\left[\begin{array}{cccc}-4&1&2&4\\0&-1&3&1\\3&0&10&7\end{array}\right][/tex]
The operations performed are:
2R2 i.e. we multiply the row 2 with 2
we get 0 -2 6 2
now add it with row 3
0 -2 6 2
3 2 4 5
___________
3 0 10 7
So, Option A is correct i.e 2R2+R3 -> R3