Evaluate :

`( - 1 ) times ( -1 ) times ( -1 )   | [ 0 , -x , - y ] , [ x , 0 , -z ] , [ y , z , 0 ] |`

Show : sqrt( x^-1y) times sqrt( y^-1z ) times sqrt( z^-1x) = 1

Find the value of (( x -y )^3 + ( y - z )^3 + ( z - x )^3 )/ (9 ( x - y )( y - z ) ( z - x )) 1 . 0 2 . 1/9 3 . 1/3 4. 1

Evaluate : x times x times x times y times y times y times y times z times z

Evaluate : x times x times y times y times y times y times z times z times z

If x ,\ y ,\ z are non-zero real numbers, then the inverse of the matrix A=[x0 0 0y0 0 0z] , is [x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (b) x y z[x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (c) 1/(x y z)[x0 0 0y0 0 0z] (d) 1/(x y z)[1 0 0 0 1 0 0 0 1]

If tan^(-1) x + tan^(-1) y - tan^(-1) z = 0 , then prove that : x+ y + xyz = z .

If [(1 ,0, 0) ,(0 ,1, 0),( 0 ,0 ,1)][(x),( y),( z)]=[(1),(-1),( 0)] , find x ,\ y\ a n d\ z .

If [(1,0,0 ), (0,-1,0), (0,0, -1)][(x),(y),( z)]=[(1),(0),(1)] , find x ,\ y\ a n d\ z .

If matrix A=[(0, 2,y),( z, x, y),(-z, x-y, z)] satisfies A^T=A^(-1) , find x , y , zdot