SOLUTION: use properties of determinants to find the value of each determinant if it is know that |x y z| |u v w| |1 2 3| =4 |x y z| |u v w| |2 4 6|

Question 188320This question is from textbook
: use properties of determinants to find the value of each determinant if it is know that
|x y z|
|u v w|
|1 2 3| =4

|x y z|
|u v w|
|2 4 6| This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember, you can multiply a scalar value "k" by any row of a determinant like this:

Note: you can pick any row. In this example, I'm using the first row.

Start with the given equation.

Since the bottom row of the resulting determinant is 2, 4, and 6 this means that this row is 2 times the bottom row of the given determinant.

Multiply both sides by 2

Multiply the scalar 2 by the entire bottom row of the determinant

Multiply

So the answer is
RELATED QUESTIONS
use the properties of determinants to find the value of each determinant if it is known... (answered by richwmiller)

It is known that the following is true. |x y z| |u v w| = 13 |1 2 3| Use properties (answered by richard1234)

Use properties of determinants to find the value of the second determinant, if the value... (answered by KMST)

1)u�u>=0 and u�u=0 if and only if u=0 prove theorem? 2)Show that there are no vectors u... (answered by lynnlo)

Please help me ㅠㅠ help me 1)u�u>=0 and u�u=0 if and only if u=0 prove... (answered by lynnlo)

1)u�u>=0 and u�u=0 if and only if u=0 prove theorem? 2)Show that there are no vectors u... (answered by lynnlo)

x=2,y=3,z=4,u=-1,v=2/3,w=5 (answered by jim_thompson5910)

Find the value of x in each pair of similar figures. 1st picture is a triangle with... (answered by ikleyn)