Find x and y satisfying the matrix equation
`[(x-y,2,-2),(4,x,6)] + [(3,-2,2),(1,0,-1)] = [(6,0,0),(5,2x+y,5)]`

For what values of x and y are the following matrices equal ? A=[(2x+1,3y),(0,y^(2)-5y)], B=[(x+3,y^(2)+2),(0,-6)]

find the value of x and y from the equations a[[x,5],[7,y-3]]+[[3,-4],[1,2]]=[[7,6],[15,14]]

Find X if Y=[[3,2],[1,4]] 2X+Y=[[1,0],[-3,2]]

Solve the equation for x,y,z and t, if 2[[x,z],[y,t]]+3[[1,-1],[0,2]]=3[[3,5],[4,6]]

Solve the equation for x,y,z and t, if 2[[x,z],[y,t]]+3[[1,-1],[0,2]]=3[[3,5],[4,6]]

If Q is the image of the point P (2,3,4) under the reflection in the plane x-2y+5z=6 then the equation of the line PQ is a) (x-2)/(-1)= (y-3)/2= (z-4)/5 b) (x-2)/(1)= (y-3)/(-2)= (z-4)/5 c) (x-2)/(-1)= (y-3)/(-2)= (z-4)/5 d) (x-2)/(1)= (y-3)/(2)= (z-4)/5

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]]

Determine the domain and range of the relation R defined by R={(x,y):y=x+1} , x in {0,1,2,3,4,5,6}