Find the Determinant of a Matrix Using Cofactors

Cofactor Expansion Theorem007747 The determinant of an n×n matrix A can be computed by using the cofactor expansion along any row or column of A ...

In this section, we give a recursive formula for the determinant of a matrix, called a cofactor expansion.

A cofactor is a number that is obtained by eliminating the row and column of a particular element which is in the form of a square or rectangle.

Generalize that if Δ represents the determinant of a n×n matrix, then the determinant of the cofactor matrix is Δn−1.

Cofactor of a Determinant ... The cofactor is defined as the signed minor. Cofactor of an element aij, denoted by Aij is defined by A = (–1)i+j M, where M is ...

This video explains how to find a determinant of a 4 by 4 matrix using cofactor expansion.

A cofactor is the determinant of a sub-matrix obtained by deleting a row and column of the matrix. Depending on which row and column are deleted ...

Note that each cofactor is (plus or minus) the determinant of a two by two matrix. That determinant is made up of products of elements in the rows and columns ...

Cofactor Expansion​​ 計算方式如下： 假設matrix-A是一個nxn的矩陣 取出A的第一個row乘上cofactor(下面說明)，第一個row裡面的每一個element都對應到一個 ... Algebra Lecture 23: Formulas... · Cofactor Expansion · x 2 matrix · 3x3 matrix