[8.01],[100],[100],[1,c],[1,1],[a,b,1],[a,b]|=(a-b)(b-c)(c-a)(a+1)

1,1,1a,b,ca^(3),b^(3),c^(3)]|=(a-b)(b-c)(c-a)(a+b+c)

Evaluate |[1,1,1],[a,b,c],[b+c,c+a,a+b]|

Show that |[-1,b,c],[a,-1,c],[a,b,-1]|=(a+1)(b+1)(c+1)(a/(a+1)+b/(b+1)+c/(c+1)-1)

|[a, 1, b+c], [b, 1, c+a], [c, 1, a+b]|=?

|(1,a,b+c),(1,b,c+a),(1,c,a+b)| =

Evaluate [[1,a,b+c],[1,b,c+a],[1,c,a+b]]

The inverse of the matrix [(1,0,0),(a,1,0),(b,c,1)] is (A) [(1,0,0),(-a,1,0),(b,c,1)] (B) [(1,0,0),(-a,1,0),(ac,b,1)] (C) [(1,-a,ac-b),(-0,1,-c),(0,0,1)] (D) [(1,0,0),(-a,1,0),(ac-b,-c,1)]

The inverse of the matrix [(1,0,0),(a,1,0),(b,c,1)] is (A) [(1,0,0),(-a,1,0),(b,c,1)] (B) [(1,0,0),(-a,1,0),(ac,b,1)] (C) [(1,-a,ac-b),(-0,1,-c),(0,0,1)] (D) [(1,0,0),(-a,1,0),(ac-b,-c,1)]

Prove that |[1+a,1, 1], [1,1+b,1], [1, 1, 1+c]|=a b c(1+1/a+1/b+1/c)=a b c+b c+c a+a b