Using properties of determinants prove that:



[R1’ = R1 - R2 & R2’ = R2 - R3]
[R1’ = R1 - R2]
[R1’ = R1/2]
[transforming row and column]
[R1’ = R1 - R2 & R2’ = R2 - R3]
[R1’ = R1 - R2]
= 2{0 + 0 + 2(0 - 2)} [expansion by first row]
. = - 8
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