Assertion: column | /r/HasProperty | independent
Facets:
value: linearly
type: DEGREE
value: by reducing only to echelon form
type: MANNER
Source sentences:
text: This makes it possible to determine which columns are linearly independent by reducing only to echelon form.
text: Since B contains only 3 columns, these columns must be linearly independent and therefore form a basis:
text: the concept only applies to row-reduced matrices (row-reduction is how we reveal which columns are independent).
text: It follows that the columns of A 1 {\displaystyle A_{1}} which were the basic variable linked columns of A are linearly independent.