+0  
 
0
24
2
avatar+124 

consider matrix A

= [-3 5 2]
        8 -1 3

What matrix results from the elementary row operations represented by -3R2+4R?
 

Enter answer by filling in the blanks:

 

[ __ __ __]
  __ __ __

 

Hi! thanks for reading this question :) Help me please 

 Aug 17, 2023
edited by thebestchesscat  Aug 17, 2023
 #1
avatar+121 
-1

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
```

 Aug 17, 2023

3 Online Users

avatar
avatar
avatar