Evaluate the following: ` |[a,h,g],[h,b,f],[g,f,c]| ` – InterviewSolution

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1.	Evaluate the following: ` \|[a,h,g],[h,b,f],[g,f,c]\| `
Answer» Expanding by 1st column, we get `Delta = a \|{:(b, f), (f, c):}\|-h \|{:(h, g), (f, c):}\| +g * \|{:(h, g), (b, f):}\|` ` = a(bc-f^(2)) -h * (ch-fg) + g * (fh -bg)` ` = abc-af^(2)-ch^(2) + fgh + fgh -bg^(2)` ` =(abc +2fgh -af^(2)-bg^(2)-ch^(2)).`

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