`|[0,x,y],[-x,0,z],[-y,-z,0]|`

If Delta= [[0 , x , -y ],[-x , 0 , z],[ y , -z , 0 ]] then

|(0,xyz,x-z),(y-x,0,y-z),(z-x,z-y,0)| is equal to……………

|(0,xyz,x-z),(y-x,0,y-z),(z-x,z-y,0)| is equal to……………

If [[1,0,0],[0,1,0],[0,0,1]][[x],[y],[z]]=[[1],[-1],[0]] then value of (x+y+z)is

|{:(0,xyz,x-z),(y-x,0,y-z),(z-x,z-y,0):}|=".........."

Evaluate the following: |[0,x y^2,x z^2],[x^2y,0,y z^2],[x^2z, z y^2, 0]|

|{:(x,z,0),(0,y,y),(z,0,x):}|

Without expanding, show that the value of each of the following determinants is zero: |49 1 6 39 7 4 26 2 3| (ii) |0x y-x0z-y-z0| (iii) |1 43 6 7 35 4 3 17 2|

Matrix A=[{:(0,2y,z),(x,y,-z),(x,-y,z):}] if A A^(T)=I then , (x,y,z)=(...,...,...)(x,y,zgt0)