If `[1 0 0 0 1 0 0 0 1][x y z]=[1-1 0]` , find `x ,\ y\ a n d\ z` .

If [(1,0,0 ), (0,-1,0), (0,0, -1)][(x),(y),( z)]=[(1),(0),(1)] , find x ,\ y\ a n d\ z .

If [(1, 0 ,0 ),(0,y,0),( 0, 0, 1)][(x),(-1),(z)]=[(1),( 0),( 1)] , find x ,\ y\ a n d\ z .

If X-Y=[1 1 1 1 1 0 1 0 0] and X+Y=[3 5 1-1 1 4 11 8 0] , find X and Y .

If [(1,0,0),(0, 0, 1),(0,1,0)][(x),(y),(z)]=[(2),(-1),(3)] , find x ,\ y ,\ z .

If [(x-y ,z),(2x-y,omega)]=[(-1 ,4),( 0 ,5)] , find x ,\ y ,\ z ,\ omega .

If [1 4 2 0]=[x y^2z0],y<0t h e nx-y+z=

If [[1 1 1],[0 1 1],[0 0 1]] [[x],[y],[z]] = [[6],[3],[2]] ,then 2x+y-z=?

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

If A=[[0,1],[-1,0]], find x\ a n d \ y such that (x I+y A)^2=A

If x ,\ y ,\ z are non-zero real numbers, then the inverse of the matrix A=[[x,0, 0],[ 0,y,0],[ 0, 0,z]] , is (a) [[x^(-1),0 ,0 ],[0,y^(-1),0],[ 0, 0,z^(-1)]] (b) x y z[[x^(-1),0 ,0],[ 0,y^(-1),0],[ 0, 0,z^(-1)]] (c) 1/(x y z)[[x,0, 0],[ 0,y,0],[ 0, 0,z]] (d) 1/(x y z)[[1, 0, 0],[ 0 ,1, 0],[ 0, 0, 1]]