Cofactor expansion is recursive, but you don't have to use cofactor expansion to compute the determinants of the minors! Or you can do row operations and then a cofactor expansion.

Summary A minor of a matrix A is a determinant of any square submatrix of A. The cofactor of the element aij of a square matrix A is the product of ( 1)i+j with the minor that is obtained by removing …

Lec 16: Cofactor expansion and other properties of dete omputing determinants. The ̄rst one is simp y by de ̄nition. It works great for matrices of order 2 and 3. Another method is producing an upper …

Inverses and Volumes Course notes adapted from N. Hammoud�.

Of course, the task now is to use this definition to prove that the cofactor expansion along any row or column yields det A (this is Theorem 3.1.1). The proof proceeds by first establishing the properties of …

THE COFACTOR MATRIX The purpose of this note is to justify the formula he cofactor matrix. You will not be tested on an For simplicity, we assume A is a 3 3 matrix:

Definition (Minor & Cofactors) be a n n square matrix. Then: The (i; j)-minor of A, denoted Mij, is the determinant of the matrix obtained by removing the ith row & jth column of A. The (i; j)-cofactor of A, …