SOLUTION: Use properties of determinants to find the value of the second determinant, if the value of the first is known? | x y z | | u v w | | 1 -2 4 | = 54 | 1 -2 4 |

SOLUTION: Use properties of determinants to find the value of the second determinant, if the value of the first is known? | x y z | | u v w | | 1 -2 4 | = 54 | 1 -2 4 | | u v w

Question 964191: Use properties of determinants to find the value of the second determinant, if the value of the first is known?
| x y z |
| u v w |
| 1 -2 4 | = 54
| 1 -2 4 |
| u v w |
| z y z |
Having a really hard time with this one. Can someone walk me through it? Much appreciated!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
or ?
Maybe one of the properties of determinants that you were taught is that if you interchange 2 rows (or two columns) the determinant changes sign.
So, if
, then .

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 each determinant if it is know that (answered by jim_thompson5910)

2x-y=-2 x=14+2y What is the value of the system determinant? What is the value of... (answered by Alan3354)

Use the properties of determinants to find the following determinants without a full set... (answered by Fombitz)

find the determinant of [x y] [z... (answered by robertb)

On determinant 2x+3y-z-4=0 3x+y+2z-13=0 X+2y-5z+11=0 Find the value of x, y,... (answered by lynnlo)

Show that in 3 x 3 determinant if one row is 0, the value of the determinant is... (answered by Jk22)

If 5, x, y, z, 405 are the first term of a GP , find the value of x, y,... (answered by KMST)