Step-by-step explanation:
third order determinant = determinant of 3×3 matrix A
given ∣A∣=11
det (cofactor matrix of A) =set (transpare of cofactor amtrix of A) (transpare does not change the det)
=det(adjacent of A)
{det (cofactor matrix of A)}
2
={det (adjacent of A)}
(Using for an n×n det (cofactor matrix of A)=det (A)
n−1
)
we get
det (cofactor matrix of A)
={det(A)
3−1
}
=(11)
2×2
=11
4
=146.41
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Step-by-step explanation:
third order determinant = determinant of 3×3 matrix A
given ∣A∣=11
det (cofactor matrix of A) =set (transpare of cofactor amtrix of A) (transpare does not change the det)
=det(adjacent of A)
{det (cofactor matrix of A)}
2
={det (adjacent of A)}
2
(Using for an n×n det (cofactor matrix of A)=det (A)
n−1
)
we get
det (cofactor matrix of A)
2
={det(A)
3−1
}
2
=(11)
2×2
=11
4
=146.41
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