1.

Evaluate the followingdeterminants |[3,-1,-2],[0,0,-1],[3,-5,0]|

Answer»

Solution :On expanding ALONG `R_2` we have
|[3,-1,-2],[0,0,-1],[3,-5,0]| = -0|[-1,-2],[-5,0]|+ 0|[3,-2],[3,0]|-(-1)|[3,-1],[3,-5]|
= 0+0+1(-15+3) = -12`


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