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If a = ⎡ ⎢ ⎣ 5 3 8 2 0 1 1 2 3 ⎤ ⎥ ⎦ . Write the Cofactor of the Element A32. - Mathematics

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Question

If \[A = \begin{bmatrix}5 & 3 & 8 \\ 2 & 0 & 1 \\ 1 & 2 & 3\end{bmatrix}\]. Write the cofactor of the element a32.

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Solution

Minor of a32 = M32 =  \[\begin{vmatrix}5 & 8 \\ 2 & 1\end{vmatrix} = 5 - 16 = - 11\] 
Cofactor of a32 = A32 = (−1)3+2 M32 = 11

Hence, the cofactor of the element a32 is 11.

 
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Chapter 6: Determinants - Exercise 6.6 [Page 92]

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RD Sharma Mathematics [English] Class 12
Chapter 6 Determinants
Exercise 6.6 | Q 44 | Page 92

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