Find the minor of element 6 in the determinant- - 1 2 34 5 67 8 9

Name: NCERT - Grade 12 - Mathematics - Determinants - Q48
Uploaded: 2022-07-04T10:36:42+05:30
Description: Given: nbsp;Δ = nbsp; 1 amp;2 amp;3 4 amp;5 amp;6 7 amp;8 amp;9 Since 6 lies in the second row and third column i.e. a_23 = 6 Minor of a ...

Given: nbsp;Δ = nbsp; 1 amp;2 amp;3 4 amp;5 amp;6 7 amp;8 amp;9 Since 6 lies in the second row and third column i.e. a_23 = 6 Minor of a ...

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Byju's Answer

Standard XII

Chemistry

Heat Capacity

Find the mino...

Question

Find the minor of element $6$ in the determinant
$Δ = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣$

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Solution

Given: $Δ = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣$
Since $6$ lies in the second row and third column i.e. $a_{23} = 6$
Minor of $a_{23} = M_{23} = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣$
$= ∣ ∣ ∣ \begin{matrix} 1 & 2 7 & 8 \end{matrix} ∣ ∣ ∣ = 8 - 14 = - 6$
Thus, minor of element $6$ is $- 6$ .

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