Minors and cofactors
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The minor of an n-by-n square matrix
is the determinant of a smaller square matrix obtained by removing the row
and the column
from
.
Multiplying the minor with results in the cofactor
:
![]()
The minors The corresponding cofactors in that case are |
![]() This example uses the transformation matrix The minors Failed to parse (PNG conversion failed; check for correct installation of latex and dvipng (or dvips + gs + convert)): M_{42}(^R\mathbf{T}_N)= \left|\begin{array}{cccc} 0&\Box&0&2a\\ 0&\Box&-1&0\\ -1&\Box&0&0 \Box & \Box & \Box & \Box\\ \end{array}\right|= \left|\begin{array}{ccc} 0&0&2a\\ 0&-1&0\\ -1&0&0 \end{array}\right|=0-2a=-2a
|