Question: Please answer the bonus question on the second page. Spanning set in IRh Project + Readily bonus let V . ... Ur be any vectors

Please answer the bonus question on the second page.

Spanning set in IRh Project + Readily bonus let V . ... Ur be any vectors in IRD let u E IR w = ( wi - -. wn ) How to tell if w belongsto Spaniv, - vry To answer this equatin , It is to answer Consistency of a linear system ! V1 = ( Mil V 1 2 . . U in ) GIRh . . Vy = ( Vri Urz ... Urn ) GIR" To see if WE Spans v. - - vr } Suffer to consider the eq C IV , t - Cr Ur = W Whichis equatin equivalent to C Vy) + . + Cr Uri = w, Cy Viz + + Cr Urz = Wz C , Vin t . . Cr Urn = Wnfunthen matrix form Uri V12 . - - Vrz Wn Vin - - - urn nx 1 hxr rx | short notation i's . the columnn form of the given vectors . If a asil" c then WE spansvi- -van's If A sol" c then w span Ev,--Umy Bonus : Given V1= ( 1 , 2 , - 3 , 2 ) Vz = ( 2 , 1, 2 , 3 ) 3, 3 , 4 ) GIR 4 V3 = ( - 2 , - 3 3 9 Given W = ( 1 , 2, 3, 4) Determine if w & belongs to spanky , vivs ? using E. R. E. F. method

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