1.

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

Answer» `|{:(1,x,y+z),(1,y,z+x),(1,z,x+y):}|`
`=|{:(1,x,x+y+z),(1,y,x+y+z),(1,z,x+y+z):}|`
`(C_(3)toC_(3)+C_(2))`
`=(x+y+z)|{:(1,x,1),(1,y,1),(1,z,1):}|`
`=(x+y+z)xx0(therefore C_(1)" and "C_(3)" are idential")`
=0.


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