If `X=[{:( 3,1,-1) ,(5,-2,-3) :}] "and" Y= [{:( 2,1,-1),( 7,2,4):}]` then find
(i) x+y,
(ii) 2x-3y.
(iii) a matrix Z such that `X+Y+Z` is a zero matrix.

If X=[{:(3,1,-1),(5,-2,-3):}]andY=[{:(2,1,-1),(7,2,4):}] , find (i) X+Y (ii) 2X-3Y (iii) A matrix Z such that X+Y +Z is a zero matrix.

If X=[{:(3,1,-1),(5,-2,-3):}]andY=[{:(2,1,-1),(7,2,4):}] , then find matrix Z, such that X+Y +Z is a zero matrix.

If the matrix A=[[5 ,2,x], [y, z,-3], [4,t,-7]] is a symmetric matrix, find x ,\ y ,\ z and t .

Find the S.D. between the lines : (i) (x)/(2) = (y)/(-3) = (z)/(1) and (x -2)/(3) = (y - 1)/(-5) = (z + 4)/(2) (ii) (x -1)/(2) = (y - 2)/(3) = (z - 3)/(2) and (x + 1)/(3) = (y - 1)/(2) = (z - 1)/(5) (iii) (x + 1)/(7) = (y + 1)/(-6) = (z + 1)/(1) and (x -3)/(1) = (y -5)/(-2) = (z - 7)/(1) (iv) (x - 3)/(3) = (y - 8)/(-1) = (z-3)/(1) and (x + 3)/(-3) = (y +7)/(2) = (z -6)/(4) .

2x + 3y-5z = 7, x + y + z = 6,3x-4y + 2z = 1, then x =

Let matrix A=[{:(x,y,-z),(1,2,3),(1,1,2):}] , where x,y,z in N . If |adj(adj(adj(adjA)))|=4^(8)*5^(16) , then the number of such (x,y,z) are