Search results
Results from the WOW.Com Content Network
In linear algebra, the Laplace expansion, named after Pierre-Simon Laplace, also called cofactor expansion, is an expression of the determinant of an n × n-matrix B as a weighted sum of minors, which are the determinants of some (n − 1) × (n − 1)-submatrices of B.
The cofactors feature prominently in Laplace's formula for the expansion of determinants, which is a method of computing larger determinants in terms of smaller ones. Given an n × n matrix A = ( a ij ) , the determinant of A , denoted det( A ) , can be written as the sum of the cofactors of any row or column of the matrix multiplied by the ...
Laplace expansion expresses the determinant of a matrix recursively in terms ... is the transpose of the matrix of the cofactors, that is, ()), = + ...
Cofactor (linear algebra), the signed minor of a matrix; Minor (linear algebra), an alternative name for the determinant of a smaller matrix than that which it describes; Shannon cofactor, a term in Boole's (or Shannon's) expansion of a Boolean function
It is easy to check the adjugate is the inverse times the determinant, −6. The −1 in the second row, third column of the adjugate was computed as follows. The (2,3) entry of the adjugate is the (3,2) cofactor of A. This cofactor is computed using the submatrix obtained by deleting the third row and second column of the original matrix A,
With a new month comes a new list of ALDI Finds. Every Wednesday, new ALDI Finds hit the shelves at ALDI stores around the country. For the month of December, the ALDI Finds are filled with great ...
This lightweight luggage comes with double 360-degree spinner wheels, zipper expansion for extra space, and smart organization features for easier travel. Available in eight colorways, though we ...
This matrix has elements 0 and −2. (The determinant of this submatrix is the same as that of the original matrix, as can be seen by performing a cofactor expansion on column 1 of the matrix obtained in Step 1.) Divide the submatrix by −2 to obtain a {0, 1} matrix. (This multiplies the determinant by (−2) 1−n.) Example: