2y-4 5y-7 8y-a 3y-5 6y-8 9y-b 4y-6 7y-9 10y-cevaluate the determinant and find the values of a-b-c if they are in A-P

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Algebra of Complex Numbers

2y+4 5y+7 ...

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\begin{vmatrix}2y+4 &5y+7 &8y+a 3y+5 &6y+8 &9y+b 4y+6& 7y+9& 10y+c\end{vmatrix}evaluate the determinant and find the values of a,b,c if they are in A.P

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a, b, c

∣ ∣ ∣ ∣ \begin{matrix} 2 y + 4 & 5 y + 7 & 8 y + a 3 y + 5 & 6 y + 8 & 9 y + b 4 y + 6 & 7 y + 9 & 10 y + c \end{matrix} ∣ ∣ ∣ ∣

4 + 2 y - 3 y^{3}, - 8 + 4 y + 7 y^{3}

a n d 5 - 6 y + 8 y^{3} - 6 y^{2}

y

\frac{(2 - 3 y) + 4 y}{9 y - (8 y + 7)} = \frac{4}{5}

Add $(3 + 2 y - 5 y^{2} + 6 y^{3}), (- 8 + 3 y + 7 y^{3})$ and $(5 - 6 y - 8 y^{3} + y^{2})$ .

8 y^{2} - 9 y + 4

3 y^{2} - 5 y

4 y^{2} + 12

y^{m} - 4 y - 8

m

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