Q:

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

Accepted Solution

A:
Answer:Option A is correct i.e 2R2+R3 -> R3Step-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 2we get 0  -2  6  2now add it with row 30  -2   6   23   2   4   5___________3  0   10    7So, Option A is correct i.e 2R2+R3 -> R3