[" 7.What is the delorminits of the ration "],[" ( "|[x,y,y+z],[y,x,z+x],[y,z]+x+y-:]

What is the determinant of the matrix ({:(x,y,y+z),(z,x,z+x),(y,z,x+y):}) ?

Prove that: |[y+z, z, y],[z, z+x, x], [y, x, x+y]|= 4 xyz

|[z+y,x,x] , [y,z+x,y] , [z,z,x+y]|=

Prove that |[y+z,z,y],[z,z+x,x],[y,x,x+y]]=4xyz

|[y+z, x, y],[z+x, z, x],[x+y, y, z]|=...

show that |[y+z ,x, y],[ z+x, z, x],[x+y, y ,z]|=(x+y+z)(x-z)^2

Show that abs([y+z ,x,x],[y,z+x,y],[z,z,x+y])=4xyz

A person travels three equal distances at a speed of x km/hr, y km/hr and z knyhr respectively. What is the average speed for the whole journey? (x y z)/(3(x y+y z+z x)) b. (x y z)/((x y+y z+z x)) c. ((x y+y z+z x))/(x y z) d. (3x y z)/((x y+y z+z x))

The repeated factor of the determinant |(y +z,x,y),(z +x,z,x),(x +y,y,z)| , is