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Foundations of Algebra

Quick practice

Question 1 of 5

If \Delta\left|\begin{array}{lll} {a_{1}} & {b_{1}} & {c_{1}} \\ {a_{2}} & {b_{2}} & {c_{2}} \\ {a_{3}} & {b_{3}} & {c_{3}} \end{array}\right| and A_{1}, B_{1}, C_{1} denote the cofactors of a_{1}, b_{1}, c_{1} respectively, then the value of the determinant \left|\begin{array}{lll} {A_{1}} & {B_{1}} & {C_{1}} \\ {A_{2}} & {B_{2}} & {C_{2}} \\ {A_{3}} & {B_{3}} & {C_{3}} \end{array}\right| is

A

\Delta^{3}

B

C

0

D

\Delta^{2}

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