SOLUTION: It is known that the following is true. |x y z| |u v w| = 13 |1 2 3| Use properties of determinants to find the value of the determinant below. |x y z| |-3 -6 -9| |u v w|

Algebra ->  Matrices-and-determiminant -> SOLUTION: It is known that the following is true. |x y z| |u v w| = 13 |1 2 3| Use properties of determinants to find the value of the determinant below. |x y z| |-3 -6 -9| |u v w|      Log On


   



Question 927075: It is known that the following is true.
|x y z|
|u v w| = 13
|1 2 3|
Use properties of determinants to find the value of the determinant below.
|x y z|
|-3 -6 -9|
|u v w|

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Switching two rows of a matrix multiplies the determinant by -1. Multiplying one row by -3 scales the determinant by -3.

New determinant = 39.