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Minor

If Δ = 1 ...

Question

If $Δ = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 3 2 & 0 & 1 5 & 3 & 8 \end{matrix} ∣ ∣ ∣ ∣$ , write the minor of the elements $a_{22}$

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Solution

Minor of $a_{22} = ∣ ∣ ∣ \begin{matrix} 1 & 3 5 & 8 \end{matrix} ∣ ∣ ∣ = 8 - 15 = - 7$

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Δ = ∣ ∣ ∣ ∣ \begin{matrix} 5 & 3 & 8 2 & 0 & 1 1 & 2 & 3 \end{matrix} ∣ ∣ ∣ ∣

, write the minor of the element

a_{23} .

A = ⎡ ⎢ ⎣ \begin{matrix} 1^{2} & 2^{2} & 3^{2} 2^{2} & 3^{2} & 4^{2} 3^{2} & 4^{2} & 5^{2} \end{matrix} ⎤ ⎥ ⎦

, then the minor of

a_{22}

Δ = ∣ ∣ ∣ ∣ \begin{matrix} 5 & 3 & 8 2 & 0 & 1 1 & 2 & 3 \end{matrix} ∣ ∣ ∣ ∣

, write the cofactor of the element

a_{32}

Δ = ∣ ∣ ∣ ∣ \begin{matrix} 5 & 3 & 8 2 & 8 & 1 1 & 2 & 3 \end{matrix} ∣ ∣ ∣ ∣,

then minor of the element in

3^{rd}

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[1 mark]

Q. Write Minors and Cofactors of the elements of following determinants: (i) (ii)

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