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Question Number 204041 by hardmath last updated on 04/Feb/24
Find:    determinant ((1,7,(−1)),(9,(−3),5),((−1),5,3))= ?
Find:|171935153|=?
Answered by AST last updated on 04/Feb/24
=1 determinant (((−3),5),(5,3))−7 determinant ((9,5),((−1),3))−1 determinant ((9,(−3)),((−1),5))  =−9−25−7(27+5)−1(45−3)=−300
=1|3553|7|9513|1|9315|=9257(27+5)1(453)=300
Answered by som(math1967) last updated on 05/Feb/24
C_2 →C_2 −7C_1   C_3 →C_3 +C_1    determinant ((1,0,0),(9,(−66),(14)),((−1),(12),2))  =−66×(2)−12×14  =−132−168=−300
C2C27C1C3C3+C1|100966141122|=66×(2)12×14=132168=300

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