Find minor & cofactors of elements '6', '5', '0' & '4' of the determinant $∣ ∣ ∣ ∣ \begin{matrix} 2 & 1 & 3 6 & 5 & 7 3 & 0 & 4 \end{matrix} ∣ ∣ ∣ ∣$

Open in App

Solution

Minor of $6 = ∣ ∣ ∣ \begin{matrix} 1 & 3 0 & 4 \end{matrix} ∣ ∣ ∣ = 1 \times 4 - 3 \times 0 = - 4$
Cofactor = $(- 1)^{2 + 1} (4) = - 4$
Minor of $5 = ∣ ∣ ∣ \begin{matrix} 2 & 3 3 & 4 \end{matrix} ∣ ∣ ∣ = 2 \times 4 - 3 \times 3 = - 1$
Cofactor = $(- 1)^{2 + 2} (- 1) = - 1$
minor of $0 = ∣ ∣ ∣ \begin{matrix} 2 & 3 6 & 7 \end{matrix} ∣ ∣ ∣ = 2 \times 7 - 3 \times 6 = - 4$
Cofactor = $(- 1)^{3 + 2} (- 4) = 4$

Suggest Corrections

Similar questions

∣ ∣ ∣ ∣ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 \end{matrix} ∣ ∣ ∣ ∣

∣ ∣ ∣ ∣ \begin{matrix} 1 & 0 & 4 3 & 5 & - 2 0 & 1 & 2 \end{matrix} ∣ ∣ ∣ ∣

Write minors and cofactors of elements of following determinants

$∣ ∣ ∣ ∣ \begin{matrix} 1 & 0 & 4 3 & 5 & - 1 0 & 1 & 2 \end{matrix} ∣ ∣ ∣ ∣$

∣ ∣ ∣ ∣ \begin{matrix} - 1 & - 2 & 3 - 4 & - 5 & - 6 - 7 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣

Write minors and cofactors of elements of following determinants

$∣ ∣ ∣ ∣ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 \end{matrix} ∣ ∣ ∣ ∣$

$∣ ∣ ∣ ∣ \begin{matrix} 1 & 0 & 4 3 & 5 & - 1 0 & 1 & 2 \end{matrix} ∣ ∣ ∣ ∣$

Write minors and cofactors of elements of following determinant. $∣ ∣ ∣ \begin{matrix} a & c b & d \end{matrix} ∣ ∣ ∣$

Join BYJU'S Learning Program