ii) Find the value of x,y,z where
`[[x+y,y-z],[1,7+x]]`=`[[4-x,z-4],[z-y,x+z+4]]`

Find the values of x, y, z if the matrix A=[[0, 2y, z],[ x, y,-z],[ x,-y, z]] satisfy the equation A^(prime)A=I .

Find the values of x, y and z from the following equations:(i) [[4, 3],[x,5]]=[[y, z],[1, 5]] (ii) [[x+y,3],[ 5+z, x y]]=[[6, 3],[ 5 ,8]] (iii) [[x+y+z],[ x+z],[ y+z]]=[[9],[ 5],[ 7]]

Write the values of x,y and z from the following equation: [[x+y+z],[ x+z],[ y+z]]=[[9], [5], [7]]

Find the value of the "determinant" |{:(1,x,y+z),(1,y,z+x),(1,z,x+y):}|

Write the values of x-y+z from the following equation: [[x+y+z], [x+z ],[y+z]]=[[9],[5],[ 7]]

Find the value of 4x^2+y^2+25 z^2+4x y-10 y z-20 z x when x=4,y=3 and z=2.

Find the value of 4x^2+y^2+25 z^2+4x y-10 y z-20 z x when x=4,\ y=3 and z=2

evaluate: |(a+x,y,z),(x,a+y,z),(x,y,a+z)|

If x, y , z are in A.P., then the value of the det (A) is , where A = [(4,5,6,x),(5,6,7,y),(6,7,8,z),(x,y,z,0)]

Prove the identities: |[z, x, y],[ z^2,x^2,y^2],[z^4,x^4,y^4]|=|[x, y, z],[ x^2,y^2,z^2],[x^4,y^4,z^4]|=|[x^2,y^2,z^2],[x^4,y^4,z^4],[x, y, z]| =x y z (x-y)(y-z)(z-x)(x+y+z)