MA 35100 Lecture Notes - Lecture 6: Linear Independence, Parametric Equation, Augmented Matrix
Document Summary
Tip : eliminate varible ( , ) from all but top . calculations would be easier if cxi ) coefficient is 1 . When eliminating a variable from several equations using same cseperate) equations , you can do all at once ! 2 we have vows that are multiples of others 0 rows. " in general , 0 rows occur if the original eq. are linearly dependent . Rz rz - 3r2 g g g g. I - i 00 - i (cid:8869) reduced form. Solve for leading variables ( , , 3) in terms of the others ( z , 4) these are called free variables and give them parameter values (cid:8869) this gives a general /parametric solution. = 2 4 = zt we can package this like with a vector equation : Since s and t can take any scalar values , this describes infinitely many solutions . Describes a plane (in this example) l parameter : cine.
add
