AMPLE C EXAM UETION WITH OLUTION: prt. It n sown tt l / wr.7888l. I Φ nots orul or pprotng t vlu o tn t n sown tt t trunton rror o ts pproton s o t or or so onstnts ; tt s Not tt / L Φ L.. Φ.. /. /.. Φ..787. Apply Rrson's trpolton to t ov two vlus n orr to otn n O pproton to t vlu o..78. Fll n t tr lnks n t ollowng Rrson s Etrpolton tl gvn tt t trunton rror o t orul Φ us to oput so vlu M s o t or or so onstnts. L Φ Φ Φ..7..7..7888 ow t oruls tt you us to oput ts tr ntrs.
. T MATLAB unton qu uss rursv ptv pson s lgort. Fll n t lnks n t ollowng MATLAB sttnts so tt ty oul us to pprot. usng t MATLAB unton qu n n solut rror tolrn o unton y. y ; qu. T opost pson s rul pproton usng suvng [ ] nto suntrvls s qurts otn y wr. Gvn tt MATLAB unton s n n ll n t lnks n t ollowng MATLAB unton opsp so tt t wll plnt t opost pson s rul. unton ppro opsp ; su ; or : su su ; n su ; or : su su ; n ppro / * ;. uppos tt only t ollowng vlus o r known:
...8..8.7... As n t Aptv pson s lgort oput two pprotons I oput pproton n to n stt s n t Aptv pson s lgort t rror o t.. Consr t ollowng t: uppos tt unton g o t or g s to trn so tt g ntrpolts t ov t t t sp ponts. Wrt own syst o lnr qutons n tr/vtor or A wos soluton wll gv t vlus o t unknowns n tt solv ts ntrpolton prol. Not: Lv your nswr n trs o n powrs o. Do not solv t rsultnt lnr syst.. Lt A. n suppos tt A. Us Nïv Gussn lnton tt s Gussn lnton wtout pvotng to oput. Do not oput A. ow ll o your work.
7. Consr t ollowng syst o lnr qutons A : py t ugnt tr or ts lnr syst n us Gussn lnton wt sl prtl pvotng to oput t soluton vtor. Do not stor t ultplrs n t ntrs n A wr zros r rt; sply st ts ntrs to. ow ll o your work. 8. uppos tt t ollowng MATLAB sttnt s n ut. A [- ; 7 8 ; 9 8 7 ; ] ; py or MATLAB sttnts tt oul us to ntly oput t son olun vtor o A. Do not oput t ntr tr A. 9. Dtrn vlus or t prtrs n so tt s qurt spln unton tt ntrpolts wr. ow ll o t qutons tt t unknowns ust stsy n tn solv ts qutons. Not: o not us Algort ro t ttook to o ts. Inst us t s nton n proprts o qurt spln.. Dtrn n so tt s t nturl u spln unton su tt n. Clrly nty t 8 ontons tt t unknowns ust stsy n tn solv or t 7 unknowns.
OLUTION. I. tn /. n t gvn pprotons wt tr trunton rrors r n Φ. L Φ. / / / L Multplyng t son quton y n sutrtng gvs Φ. Φ. O Φ. Φ. O or Φ. Φ. Φ. O Tus t O pproton to s.787.78.787.788.... T tr nswrs r.787.78789.788 T justton s s ollows. Entrs n t olun Φ : M Φ L M Φ / L Clult 9 * : 8M 9Φ / Φ O w pls tt 9Φ / Φ Φ / Φ M or M Φ /. 8 8
Tus t two rqur vlus n t son olun o t tl r oput s ollows:.7.7.7.787 8.7888.7.7888.78789 8 For t ntry n t olun Φ : M Φ L or so onstnts M Φ / L Clult 8*-: 8M 8Φ / Φ O w pls tt 8Φ / Φ Φ M or M Φ / 8 Tus t rqur vlu Φ s.78789.787.78789.788 8 / Φ 8. unton y y *.*-.*p-.* qu ' ' - OR qu @ - NOTE: - n lso wrttn s.. unton ppro opsp - / ^ ; su ; or : ^ su su *- * ; n su ; or : ^- su su ** ; n ppro / * *su *su ;
. [ ] [ ] 98...8. [ ] [ ] 9....8.8.7.. Error stt s 7.... Forwr lnton:... /. / Bk-susttuton:. Tt s.... /
7. T ugnt tr s A l s tp k : r so j n pvot l 9 7 A tp k : r so j n pvot l no ntrng A Bk-susttuton / 8. A \ [ ] or A \ [ ; ; ; ] or t two sttnts [ ] ; A \
9. Lt. Tn n n t oluton: Tus. T 8 ontons r Fro t t onton Fro t rst onton