A matrix minor is a fundamental concept in linear algebra that plays a crucial role in various mathematical and scientific applications, particularly in areas like matrix theory, linear transformations, and optimization. To understand what a matrix minor is, let's break it down:
Definition: A matrix minor is a determinant of a smaller matrix obtained by removing some rows and columns from a larger square matrix.
Here are key points to help you understand matrix minors better:
Submatrix Selection: To find a minor, you choose a subset of rows and columns from the original matrix, creating a smaller square matrix. The size of this submatrix is typically denoted as "m x m," where "m" is less than or equal to the dimensions of the original matrix.