If | * 20 c 1&1&1 a&b&c a^2 & b^2 & c^2 | = 5 , then | * 20 c b c… - Vidyadip

MCQ

If $\left| {\begin{array}{*{20}{c}}
1&1&1\\
a&b&c\\
{{a^2}}&{{b^2}}&{{c^2}}
\end{array}} \right| = 5$ , then $\left| {\begin{array}{*{20}{c}}
{b{c^2} - {b^2}c}&{{a^2}c - a{c^2}}&{a{b^2} - b{a^2}}\\
{{b^2} - {c^2}}&{{c^2} - {a^2}}&{{a^2} - {b^2}}\\
{c - b}&{a - c}&{b - a}
\end{array}} \right|$ is equal to

A
$5$
B
$15$
✓
$25$
D
$35$

✓

Answer

Correct option: C.

$25$

c
| cofactor matrix of $A$ | $= | A |^2$

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