Question

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

Which operations did the student perform?

Answer 1

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

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