3 and 4 .Determinants and Matrices
easy

નિશ્રાયક $\left| {\,\begin{array}{*{20}{c}}1&3&5&1\\2&3&4&2\\8&0&1&1\\0&2&1&1\end{array}\,} \right|$ માં ઘટક $'4'$ નો સહઅવયવ મેળવો.

A

$4$

B

$10$

C

$-10$

D

$-4$

Solution

(b)The cofactor of element $4$, in the $2^{nd}$ row and ${3^{rd}}$ column is
$ = {( – 1)^{2 + 3}}\left| {\begin{array}{*{20}{c}}1&3&1\\8&0&1\\0&2&1\end{array}} \right|$

$=-{1(-2) -3 (8 -0)+ 1.16}= 10.$

Standard 12
Mathematics

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