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in Determinants by (95 points)
Evaluate \( \left|\begin{array}{ccc}219 & 117 & 345 \\ 19 & 9 & 34 \\ 7 & 3 & 5\end{array}\right| \)

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1 Answer

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by (120 points)
 \(\left|\begin{array}{ccc}219 & 117 & 345 \\ 19 & 9 & 34 \\ 7 & 3 & 5\end{array}\right|\)
=219(45-102) - 117(95-238) + 345(57-63)
= 219(-57) - 117(-143) + 345(-6)
= -12483 + 16731 - 2070
= 16731 - 14553
= 2178

 

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