[HELP][URGENT] Linear Algebra

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sucksmath

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Guys, I need help with the following questions! I have completed them but I need to check my answers if they are right. Please help :eek::eek:

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Matrix determinant help

If A and B are 3×3 matrices which are identical except that row 1 in B has been obtained by applying the elementary row operation 2R3-3R1 to A, then det B equals
A) 2 detA
B) -3 detA
C) None of these
 
sucksmath said:
If A and B are 3×3 matrices which are identical except that row 1 in B has been obtained by applying the elementary row operation 2R3-3R1 to A, then det B equals
A) 2 detA
B) -3 detA
C) None of these
Click to expand...
What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33
 
I'm sorry, I posted before reading the rules. Anyway, it's an online test and got the answers all correct except for this one. Is it right that when any 2 rows in two 3x3 identical matrices are the same, their determinant is the same as well? Even after applying the elementary row operation?

Subhotosh Khan said:
What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33
Click to expand...
 
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