- #1

mairzydoats

- 35

- 3

I am trying to learn linear algebra, and I came across this definition of basis minor on this webpage:

https://en.wikibooks.org/wiki/Linear_Algebra/Linear_Dependence_of_Columns

"The rank of a matrix is the maximum order of a minor that does not equal 0. The minor of a matrix with the order of the rank of the matrix is called a basis minor of the matrix, and the columns that the minor includes are called the basis columns."

Does this mean that if the determinant of the matrix does not equal zero, then its basis minor is just itself, and its rank is just the same as its order?

Thank you