1.

Evaluate the following : [[37,-3,11],[16,2,3],[5,3,-2]]

Answer»

Solution :`[[37,-3,11],[16,2,3],[5,3,-2]]=[[42,0,9],[16,2,3],[5,3,-2]]`
`(R_1~~R_1+2R_3)`
`3[[14,0,3],[16,2,3],[5,3,-2]]=3[[14,0,3],[2,2,0],[5,3,-2]]`
=`3xx2[[14,0,3],[1,1,0],[5,3,-2]]`
=`6[[14,0,3],[0,1,0],[2,3,-2]](C_1~~C_2-C_2)`
=`6XX(1)[[14,3],[2,-2]]`
+6(-28-6)=-204


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