Grade 12Algebra
using the properties of the determinants prove that det(1 1 1+x 1 1+y 1 1+z 1 1)= xyz+ xy +yz +xz
using the properties of the determinants prove that det(1 1 1+x
1 1+y 1
1+z 1 1)= xyz+ xy +yz +xz
1 Answer
Yadama Gangadhar
Det(1 1 1+x 1 1+y 1 1+z 1 1)= by applying row operations that is r1-r2, r2-r3 the matrix becomes (0 -y x -z y 0 1+z 1 1) expanding along c3det =x(y+yz +z ) -0(-y(1+z))+1(yz) =xy+xyx+xz+zy hence proved
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