Finding a determinant after scaling one row by different factors

[mrhobbes]

Homework Statement

Hi everyone. I'm just going over some questions for a midterm and came upon one that I don't seem to understand. The question is follows

Assuming a determinant
|a b c |
|d e f | = 4
|g h i |

Find the determinant if
|3a 2b 4c|
|d e f | = ?
|g h i |

The Attempt at a Solution

I'm honestly stuck on this question and have no idea where to begin.

 

[HallsofIvy]

I have no idea what is wanted here. There is no manipulation of rows and columns that will reduce the second matrix to the first and there is no single numerical answer.

For example, a= 4, e= i= 1, all other entries 0, gives 4 for the first determinant and 12 for the second.

But b= -4, d= 1, i= 1, all other entries 0, also gives 4 for the first determinant but 8 for the second.