Find the values of x, y and z if `[ (x + y + z), (z + x), (y + z) ]` = `[(9),(5),(7)]`

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

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 values of x,y and zfrom the following equations : (i) [{:(4,3),(x,5):}]=[{:(y,z),(1,5):}] (ii) [{:(x+y,2),(5+z,xy):}]=[{:(6,2),(5,8):}] (iii) [{:(x+y+z),(x+z),(y+z):}]=[{:(9),(5),(7):}]

What is the sum of x, y and z? x + y = 8 x + z = 11 y + z = 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 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 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

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 angle between the planes -x+y+2z=9 and x+2y+z=5