Simplify `[(x,y,z)][(a,h,g),(h,b,f),(g,f,c)][(x),(y),(z)]`

Find the value of : |(a,h,g),(h,b,f),(g,f,c)|

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

Find x and y if :- [(x + y + z),(x+z),(y+z)]=[(9),(5),(7)]

Which of the followings are relations from {x, y, z} to {a, b, c, d} {(x, a),(x, b),(x, c), (x, d),(y, a) (y, b),(y, c),(y, d)}

Find the value of : |(1+x,y,z),(x,1+y,z),(x,y,1+z)|

If y= |(f(x),g(x),h(x)),(l,m,n),(a,b,c)| ,prove that (dy)/(dx)=|(f'(x),g'(x),h'(x)),(l,m,n),(a,b,c)| .

Which of the followings are relations from {x, y, z} to {a, b, c, d} {(a, x),(b,y), (c, z)}

Which of the followings are relations from {x, y, z} to {a, b, c, d} ,{(x, d),(y, b),(z, c)}

Simplify : 5^(x-y) xx 5^(y-z) xx 5^(z-x)

Find the values of x, y, z and w if [(x,3x-y),(2x+z,3y-w)]=[(3,2),(4,7)]