Find the value of `| [ x + y , y + z , z + x ] , [ z , x , y ] , [ -3 , -3 , -3 ] |`

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

What is the value of ((x - y)^3 + (y - z)^3 + (z - x)^3)/(9(x - y)(y - z)(z - x)) ?

If x = 1, y = 2 , z = 5 , find the value of x^3 - y^3 -z^3

Write the value of det[[x+y,y+z,z+xz,x,y-3,-3,-3]]

Find the values of x,y,z if the matrix A=[(0,3y,z),(x,y,-z),(x,-y,z)] satisfy the equation A'A=I .

What should be added to x y+y z+z x to get x y-y z-z x ? -2x y-2y z-2z x (b) -3x y-y z-z x -3x y-3y z-3z x (d) 2x y+2y z+2z x

Value of [[x+y, z,z ],[x, y+z, x],[y, y, z+x]], where x ,y ,z are nonzero real number, is equal to x y z b. 2x y z c. 3x y z d. 4x y z

Find the values of x, y and z from the following equations: (i) [4 3x5]=[y z1 5] (ii) [x+y3 5+z x y]=[6 2 5 8] (iii) [x+y+z x+z y+z]=[9 5 7]