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Mathematics 6 Online
OpenStudy (anonymous):

solve this determinant

OpenStudy (anonymous):

OpenStudy (anonymous):

@ganeshie8 ?

OpenStudy (anonymous):

@mathslover ?

OpenStudy (anonymous):

@Hero ?

hero (hero):

I would say use the condensation method, but that would be too tedious.

OpenStudy (anonymous):

very tedious!!

OpenStudy (anonymous):

if we take 1/z^2 common from 1st row and 1/x^2 from second row and 1/x^2*z^2 from third row

OpenStudy (anonymous):

will it simplify the calculation?

OpenStudy (anonymous):

@ParthKohli ?

OpenStudy (anonymous):

@iambatman ?

OpenStudy (anonymous):

@dan815 ?

hero (hero):

Your approach seems like a pretty good idea.

OpenStudy (anonymous):

cant simplify it further what to do ?

hero (hero):

Once you've simplified it as much as you can, you should be able to use condensation method more conveniently.

OpenStudy (anonymous):

OpenStudy (anonymous):

@Loser66 ?

OpenStudy (anonymous):

@Miracrown ?

OpenStudy (anonymous):

@aajugdar ?

OpenStudy (anonymous):

determinant :O

OpenStudy (anonymous):

are you supposed to find values of x,y,z?

OpenStudy (anonymous):

or just solve it

OpenStudy (anonymous):

just solve it

OpenStudy (anonymous):

and write final equation

OpenStudy (anonymous):

then then whats the prob

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

the expansion is too long

OpenStudy (anonymous):

take 1/z out of first row then 1/x out of 2nd 1/xz out of third

OpenStudy (anonymous):

ya thats what i did

OpenStudy (anonymous):

1/z^2 common from 1st row and 1/x^2 from second row and 1/x^2*z^2 from third row

OpenStudy (anonymous):

not sqeure term do u c all the terms in power? how can you take squere out

hero (hero):

It's a bit tedious but it can be done

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

will it be easy if we do not take out square?

OpenStudy (anonymous):

OpenStudy (anonymous):

solve it now

OpenStudy (anonymous):

still it long :P

OpenStudy (anonymous):

@aajugdar

OpenStudy (anonymous):

@aajugdar

OpenStudy (anonymous):

hah whats wrong with this one

OpenStudy (anonymous):

i doubt you will be able to simplify it more so u will hv to solve as it is now

OpenStudy (anonymous):

please try once

OpenStudy (anonymous):

.-.

OpenStudy (anonymous):

?

OpenStudy (sweetburger):

i have not seen a matrice of such proportions in a while now

OpenStudy (anonymous):

?

OpenStudy (tkhunny):

With some judicious factoring, some of which has been mentioned before, we have: \(\dfrac{z+y}{z^{3}}\cdot\dfrac{x+y}{x^{3}}\cdot\left|\begin{matrix}\dfrac{-x}{y+z} & 1 & 1 \\ 1 & 1 & \dfrac{-z}{x+y}\\ y & x+2y+z & y\end{matrix}\right| = 0\) Sure, it's a little tedious, but go ahead and stick to it until you get it!

OpenStudy (anonymous):

lol just solve it dude will take atmost 5 mins

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