PLEASE HELP ME: Matrices

The elementary row operation represented by \(-3R2 + 4R1\) involves multiplying the second row of the matrix by -3 and adding 4 times the first row to it. Let's perform this operation on matrix A:

Matrix A:
```
-3  5  2
 8 -1  3
```

First, multiply the second row by -3:
```
-3  5  2
-24  3 -9
```

Next, add 4 times the first row to the second row:
```
-3  5  2
 0 23 -34
```

So, the resulting matrix from the elementary row operation \(-3R2 + 4R1\) applied to matrix A is:
```
-3  5   2
 0 23 -34
```