1.

Evaluate the following :[[a,h,g],[h,b,f],[g,f,c]]

Answer»

Solution :`[[a,H,G],[h,b,f],[g,f,C]]`
`a[[b,f],[f,c]]-h[[h,f],[g,c]]+g[[h,b],[g,f]]`
=`a(bc-f^2)-h(ch-fg)+g(hf-bg)`
`abc-af^2-ch^2+fgh+fgh-bg^2`
`abc+2fgh-af^2-bg^2-ch^2`


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