" viii) "|[0,x,y],[-x,0,z],[-y,-z,0]|

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

Expand the following determinants: |(0,x,y),(-x,0,z),(-y,-z,0)|

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

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|

|(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……………

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

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]]

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