MATH 115AH Lecture 3: Linear Independence
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Cari i. ani ) i in . i. m w when is w. E span l vi: bn ) cr lb , cpi. , um : e . when do we have a sole to the equation : ; vu ev are distinct . then iz above is equivalent to ex ) , by changing notation in txt we may assume that. A - b , to so d- b , inverse exists so he. ;vn ) i if not relabeling , we may assume. If he i the following two case can occur. 1 t dnvn=0 is linearly independent if not linearly dependent. I finitely many elites jus that linearly dependent and linearly independent if not . V are linearly independent. if no ur o and no vi linear combanatiuw of vi. vii. vote. 3 . if no vi o and dirt t2wvn= fruit - it fawn di.
