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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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