Question

A student performed row operations on a matrix as shown below.

Answer 1

Answer:

Option A is correct i.e 2R2+R3 -> R3

Step-by-step explanation:

The given matrix is:

$\left[\begin{array}{ccc}-4&1&2&4\\0&-1&3&1\\3&2&4&5\end{array}\right]$

If we perform the operation 2R2 + R3 we get the result given i.e

$\left[\begin{array}{cccc}-4&1&2&4\\0&-1&3&1\\3&0&10&7\end{array}\right]$

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