In this publication, we will consider what a matrix minor is, how it can be found, and also analyze an example to consolidate the theoretical material.
Matrix minor definition
Minor Mij to element aij the determiner n-th order is the determinant (N-1)-th order, which is obtained by deleting the line i and column j from source.
basic any non-zero minor of a matrix of maximum order is called. Those. in the matrix A order minor r is basic if it does not equal zero, and all minors of order r+1 and above are either zero or do not exist. In this way, r matches the smaller of the values m or n.
An example of finding a minor
Let’s find a minor M32 to element a32 definer below:
Solution
According to the task, we need to delete the third row and the second column from the determinant:
We get this result:
For the same determinant minor M13 to element a13 looks like that:
0 2 1
1 4 4
0 1 0