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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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Determinant of adjoint a is given find determinant of a?
relationship between determinant and adjoint
If two rows of a determinant are interchanged what is true of the resulting determinant?
The resulting determinate is the negative, or opposite, of the original determinant.
What is the determinant rank of the determinant of 123456 its a 2 x 3 matrix?
A determinant is defined only for square matrices, so a 2x3 matrix does not have a determinant.Determinants are defined only for square matrices, so a 2x3 matrix does not have a determinant.
If two rows of a matrix are interchanged what is true of the resulting determinant?
The determinant will change sign.
What is the determinant of a 2x1 matrix?
The determinant is only defined for square matrices.
