જો $left| {begin{array}{*{20}{c}} 1&1&1 a&b&c {{a^2}}&{{b^2}}&{{c^

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3 and 4 .Determinants and Matrices

hard

જો $\left| {\begin{array}{{20}{c}}
1&1&1\\
a&b&c\\
{{a^2}}&{{b^2}}&{{c^2}}
\end{array}} \right| = 5$ , તો $\left| {\begin{array}{{20}{c}}
{b{c^2} - {b^2}c}&{{a^2}c - a{c^2}}&{a{b^2} - b{a^2}}\\
{{b^2} - {c^2}}&{{c^2} - {a^2}}&{{a^2} - {b^2}}\\
{c - b}&{a - c}&{b - a}
\end{array}} \right|$ મેળવો.

A

$5$

B

$15$

C

$25$

D

$35$

Solution

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

Standard 12

Mathematics

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