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The cofactor is the signed minor of a determinant, used to evaluate the determinant. You take the minor of the element - call that element aij - and if i + j is even, the cofactor is the minor - otherwise, it's the opposite of the minor. Thus, take the matrix, remove the row and column the element is in, and if the sum of the row number and column number is even, then there's your cofactor; otherwise, it's the additive inverse. For example, the cofactor of a34 is the determinant of the same matrix with the 3rd row and 4th column removed, and then you take the opposite (additive inverse or negative), because 3 + 4 = 7 is odd.

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Q: What is a cofactor of a determinant?
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Define Co-factors of a matrix?

In linear algebra, the cofactor (sometimes called adjunct) describes a particular construction that is useful for calculating both the determinant and inverse of square matrices. Specifically the cofactor of the entry of a matrix, also known as the 'cofactor of that matrix', is the signed minor of that entry.Source: Boundless. "Cofactors, Minors, and Further Determinants." Boundless Algebra. Boundless, 06 Jul. 2016. Retrieved 27 Jul.


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A single math equation does not have a determinant. A system of equations (3x3 , 4x4, etc.) will have a determinant. You can find a determinant of a system by converting the system into a corresponding matrix and finding its determinant.


What is The protein portion of an enzyme that is lacking a cofactor is called?

An apoenzyme or an apoprotein is the protein portion of an enzyme that lacks a cofactor. It becomes active when it combines with a cofactor to form a holoenzyme or a holoprotein.


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The resulting determinate is the negative, or opposite, of the original determinant.


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