आव्यूह |{:(x,y,y+z),(z,x,z+x),(y,x,x+y):...

आव्यूह `|{:(x,y,y+z),(z,x,z+x),(y,x,x+y):}|` का सारणिक कौन-सा है ?

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

Prove: |(y+z, z, y),( z, z+x,x),( y, x,x+y)|=4\ x y z

Prove: |(y+z, z, y),( z, z+x,x),( y, x,x+y)|=4\ x y z

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

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

prove that: |(y+z,z,y),(z,z+x,x),(y,x,x+y)|=4xyz

prove that: |(y+z,z,y),(z,z+x,x),(y,x,x+y)|=4xyz

|{:(y+z," "z," "y),(" "z,z+x," "x),(" "y," "x,x+y):}|=4xyz

|{:(x+y+z," "-z," "-y),(" "-z,x+y+z," "-x),(" "-y," "-x,x+y+z):}|=2(x+y)(y+z)(z+x)

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