[" 17."(2)/(x)-(3)/(y)+(3)/(z)=10],[(1)/(x)+(1)/(y)+(1)/(z)=10],[(3)/(x)-(1)/(y)+(2)/(z)=13]

Solve the following system of equations by matrix method :(2)/(x)-(3)/(y)+(3)/(z)=10(1)/(x)+(1)/(y)+(1)/(z)=10(3)/(x)-(1)/(y)+(2)/(z)=13

(x)/(2)+(y)/(3)+(z)/(6)=12,-(x)/(6)+(y)/(2)+(z)/(3)=8(x)/(2)+(z)/(3)=10 Find the value of x,y,z

If x+y+z=xyz , prove that: a) (3x-x^(3))/(1-3x^(2))+(3y-y^(3))/(1-3y^(2))+(3z-z^(3))/(1-3z^(2))= (3x-x^(3))/(1-3x^(2)).(3y-y^(3))/(1-3y^(2)).(3z-z^(3))/(1-3z^(2)) b) (x+y)/(1-xy) + (y+z)/(1-yz)+(z+x)/(1-zx)= (x+y)/(1-xy) .(y+z)/(1-yz).(z+x)/(1-zx)

Find ((x^(2)-y^(2))^(3) + (y^(2) -z^(2))^(3)+ (z^(2) -x^(2))^(3))/((x-y)^(3) + (y-z)^(3) + (z-x)^(3))

Solve the following equations by matrix inverse method. 2/x-3/y+3/z=10 , 1/x+1/y+1/z=10 , 3/x-1/y+2/z=13 .

Simplify: ((x^(2)-y^(2))^(3) + (y^(2) - z^(2))^(3) + (z^(2) -x^(2))^(3))/((x-y)^(3) + (y-z)^(3) + (z-x)^(3))

The value of the expression ((x ^(2) - y ^(2)) ^(3) + ( y ^(2) - z ^(2)) ^(3) + (z ^(2) - x ^(2)) ^(3))/((x - y) ^(3) + ( y - z) ^(3) + (z - x ) ^(3)) is

If [(2,-1,3),(1,3,-1),(3,2,1)],[(x),(y),(z)]=[(9),(4),(10)] ,then [(x),(y),(z)] is equal to

Prove the following : |{:(x,y,z),(x^(2),y^(2),z^(2)),(x^(3),y^(3),z^(3)):}|=|{:(x,x^(2),x^(3)),(y,y^(2),y^(3)),(z,z^(2),z^(3)):}|=xyz(x-y)(y-z)(z-x)