If α  = a , β  = b , γ  = c and α a a b β b c c γ = 0 , then α − a a + β − b b + γ − c γ is equal to:

Question

If α  = a , β  = b , γ  = c and ​ α a a ​ b β b ​ c c γ ​ ​ = 0 , then α − a a ​ + β − b b ​ + γ − c γ ​ is equal to:

TestHub · Accepted Answer

​ R 1 ​ → R 1 ​ − R 2 ​ , R 2 ​ → R 2 ​ − R 3 ​ ​ α − a 0 a ​ b − β β − b b ​ 0 c − γ γ ​ ​ = 0 ( α − a ) ( γ ( β − b ) − b ( c − γ )) − ( b − β ) ( − a ( c − γ )) = 0 γ ( α − a ) ( β − b ) − b ( α − a ) ( c − γ ) + a ( b − β ) ( c − γ ) γ − c γ ​ + β − b b ​ + α − a a ​ = 0 ​

Mathematics - Determinant Question with Solution | TestHub

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