The value of `|{:(1," "1," "1),(1,1+x," "1),(1," "1,1+y):}|`is

Find the value of |{:(1, " "1, " "1), (1, 1+x, " "1), (1, " "1, 1+y):}|.

Prove that: |(1, 1, 1),( 1, 1+x,1) ,(1, 1, 1+y)|=x y .

Find the value of |[1,1,1],[1,1+x,1],[1,1,1+y]|

Find the value of |[1,1,1],[1,1-x,1],[1,1,1+y]| .

The value of |[1,-1],[y,x]| is -

The value of det[[x,1,10,1+x,1-y,1+x,1+x]]=

If x,y,z are all different from zero and |{:(1+x,1,1),(1,1+y,1),(1,1,1+z):}|=0 then value of x^(-1)+y^(-1)+z^(-1) is ".........."

Find the value of ( 1/x + 1/y ) ( 1/x - 1/y )