[" 4.यदि "X={2,3,4,5},Y={x,y,z}" And "],[qquad 2harr x,3harr y,4harr y,5harr z]

[[2,5],[3,4]][[3,1],[-2,3]]=[[x,y],[1,z]] find x,y and z.

Prove the identities: |[z, x, y],[ z^2,x^2,y^2],[z^4,x^4,y^4]|=|[x, y, z],[ x^2,y^2,z^2],[x^4,y^4,z^4]|=|[x^2,y^2,z^2],[x^4,y^4,z^4],[x, y, z]| =x y z (x-y)(y-z)(z-x)(x+y+z)

Prove the identities: |[z, x, y],[ z^2,x^2,y^2],[z^4,x^4,y^4]|=|[x, y, z],[ x^2,y^2,z^2],[x^4,y^4,z^4]|=|[x^2,y^2,z^2],[x^4,y^4,z^4],[x, y, z]| =x y z (x-y)(y-z)(z-x)(x+y+z)

If 2x+3y=5, 2y+z=3, and x+5y+z=3 , then x =

Find the values of x, y,z from the following equations i) [[4, 3 ], [x, 5]]=[[y , z], [1 , 5]] ii) [[x+y , 2] , [5+z, x y]]=[[6 , 2] , [5, 8]] iii) [[x+y+z], [x+z] , [y+z]]=[[9] , [5 ] ,[7]]