[" a्यूहों The written modifications of "x" ,"y],[[2x+y,x-y],[x-z,x+y+z]]=[[10,-1],[2,8]]]

Find the values of x,y,z if , [[2x+y,x-y],[x-z,x+y+z]]=[[10,-1],[2,8]]

solve: [[2x + y, x-yx-z, x + y + z]] = [[10, -12.8]]

x+2y-2z=5,3x-y+z=8,x+y-z=4

Solve the system of Linear equations x+2y+z=8 , 2x+y-z=1 , x-y+z=2

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)

show that |[y+z ,x, y],[ z+x, z, x],[x+y, y ,z]|=(x+y+z)(x-z)^2

2x+y+z=1x-y+2z=-1,3x+2y-z=4

2x+y-z=1 x-y+z=2 3x+y-2z=-1

(x+y+z) is fator of : {:|(x-y-z,2x,2x),(2y,y-z-x,2y),(2z,2z,z-x-y)|