KUIS METODE NUMERIK

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NOMOR 1) X1+3X2+2X3= 3 2X1-X2-3X3= -8 5X1+2X2+X3= 9 Cara Matrix biasa A= 1 3 2 2 -1 -3 5 2 1 X= A(invers) * B Det A= -28 Adj A= 5 -17 9 1 -9 13 -7 7 -7 di transpot Adj A= 5 1 -7 -17 -9 7 9 13 -7 X= 1/DetA x 5 -17 9 X= 1/Det A x -56 84 -140 X= 2 -3 5 Cara eliminasi gaus 1 3 2 2 -1 -3 5 2 1 baris 2 baris 3 0 0 -7 -13 -7 -9 -14 -6 1 3 2 0 -7 -7 0 -13 -9

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Transcript of KUIS METODE NUMERIK

Sheet1NOMOR1)X1+3X2+2X3= 32X1-X2-3X3= -85X1+2X2+X3= 9Cara Matrix biasaA=132X132-1-3X2=-8521X39X= A(invers) * BDet A=-28Adj A=5-1791-913-77-7di transpotAdj A=51-7-17-97913-7X=1/DetAx51-7x3-17-97-8913-79X=1/Det Ax-5684-140X=2-35Cara eliminasi gaus13232-1-3-85219baris 2baris 300-7-13-7-9-14-613230-7-7-14lalu0-13-9-6X2X3YX2X3Y-13-9-6X(-7)916342-7-7-14X(-13)91911820-28-140X3=5X2=-3X1=2CARA GAUS JORDAN13232-1-3-85219BARIS 2BARIS 300-7-13-7-9-14-6132313230-7-7-14BARIS 2 SEMUA DIBAGI (-7)01120-13-9-60-13-9-6BARIS 1BARIS 31000-14-32010-1-3011200420BARIS 3 DIBAGI 410-1-301120015BARIS 2010-310-1-3010-30015BARIS 110021002010-30015CARA GAUS SIDELX1X2X3Y1323P(1,1,1)2-1-3-85219ITERASI 1ITERASI 4X1-2X1-6802X21X2-33375X317X3100769ITERASI 2ITERASI 5X1-34X1-101410X2-111X2-505119X3401X31517297ITERASI 3ITERASI 6X1-466X1-1519234X2-2127X2-7590351X36593X322776881CARA JAKOBIX1X2X3Y1323P(1,1,1)2-1-3-85219ITERASI 1ITERASI 4X1-2X1-90X27X2-363X32X3116ITERASI 2ITERASI 5X1-22X1860X2-2X2-520X35X31185ITERASI 3ITERASI 6X1-1X1-807X2-51X2-1827X3123X3-3251

NOMOR2)f(x)=e^x-5x^2METODE TABELXf(x)-2-19.8646647168-2.9-41.9949767799-2.8-39.1391899374-2.7-36.3827944873-2.6-33.7257264218-2.5-31.1679150014-2.4-28.7092820467-2.5-31.1679150014-2.3-26.3497411563-2.2-24.0891968416-2.1-21.9275435717-2-19.8646647168-1.9-17.9004313808-1.8-16.0347011118-1.7-14.2673164759-1.6-12.598103482-1.5-11.0268698399-1.4-9.5534030361-1.3-8.177468207-1.2-6.8988057881-1.1-5.7171289163-0.9-3.6434303403-0.8-2.7506710359-0.7-1.9534146962-0.6-1.2511883639-0.5-0.6434693403-0.4-0.129679954-0.30.2908182207-0.20.6187307531-0.10.854837418JADI PENYELESAIAN BERADA DI ANTARA -0,4 DAN -0,3 .JADI KEPUTUSAN PENYELESAIAN DI X= -0,35METODE BISEKSIf(x)=e^x-5x^2ITERASIabxf(x)f(a)keterangan1-20-1-4.6321205588-19.8646647168++sama tandaa2-10-0.5-0.6434693403-4.6321205588+-beda tandab3-0.50-0.250.4663007831-0.6434693403-4-0.5-0.25-0.375-0.0158357212-0.6434693403+5-0.375-0.25-0.31250.2433343789-0.0158357212-6-0.375-0.3125-0.343750.1182858699-0.0158357212-7-0.375-0.34375-0.3593750.0523605569-0.0158357212-8-0.375-0.35938-0.367190.0185355432-0.0158357212-9-0.375-0.36719-0.3710950.0014208954-0.0158357212-10-0.375-0.3711-0.37305-0.0072007121-0.0158357212+11-0.37305-0.3711-0.372075-0.0028964852-0.0072007121+12-0.37208-0.3711-0.37159-0.0007587048-0.0029185356+13-0.37159-0.3711-0.3713450.0003203723-0.0007587048-14-0.37159-0.37135-0.37147-0.0002301074-0.0007587048+15-0.37147-0.37135-0.371410.0000341410330-0.0002301074-PADA ITERASI KE 15 DIPEROLEH X= -0,37141 DAN f(x)= 0,0000341410330METODE REGULA FALSIf(x)=e^x-5x^2ITERASIabxf(x)f(a)f(b)1-20-0.09585584180.862653276-19.864664716812-2-0.09586-0.17510799730.686052313-19.86466471680.86264551193-2-0.17511-0.23603054370.5112044638-19.86466471680.68604712514-2-0.23603-0.28028589280.3627667905-19.86466471680.51120617645-2-0.28029-0.31113074190.248606393-19.86466471680.36275217546-2-0.31113-0.33200520390.166346312-19.86466471680.24860924487-2-0.33201-0.34586012230.1095153381-19.86466471680.16632694758-2-0.34586-0.35492943560.0713484015-19.86466471680.10951584789-2-0.35493-0.36081729460.0461607515-19.86466471680.071346002610-2-0.36082-0.36461927660.0297249139-19.86466471680.04614910411-2-0.36462-0.36706322160.0190888027-19.86466471680.029721773712-2-0.36706-0.36862880850.012246117-19.86466471680.019102859713-2-0.36863-0.36963465530.007837841-19.86466471680.012240900714-2-0.36963-0.37027470320.0050278305-19.86466471680.007858265115-2-0.37027-0.37068408150.0032285323-19.86466471680.00504849316-2-0.37068-0.3709462360.0020754921-19.86466471680.00324647917-2-0.37095-0.37111883020.0013160176-19.86466471680.002058932118-2-0.37112-0.37122748270.0008377668-19.86466471680.001310869319-2-0.37123-0.37129777990.0005282844-19.86466471680.000826685220-2-0.3713-0.37134251140.0003313303-19.86466471680.000518509421-2-0.37134-0.37136807120.0002187815-19.86466471680.000342388522-2-0.37137-0.37138724060.0001343681-19.86466471680.00021028823-2-0.37139-0.37140001990.000078091618585-19.86466471680.0001222164AKAR PERSAMAN DIPEROLEH X= -0,3714 DENGAN KESALAHAN 0,000078091618585METODE NEWTON RAPHSONRANGE 0: -4ITERASIXf(x)=EXP^x-5*x^2f'(x)=exp^x-10*x-0.74-2.26088608457.8771139155-0.4529804001-0.39022562065.1655345947-0.3774363081-0.0266739654.4599799495-0.3714555716-0.00016655964.4042853646-0.371417754-0.00000000674.4039332729-0.371417752504.4039332588-0.371417752504.4039332588ITERASIXf(x)=EXP^x-5*x^2f'(x)=exp^x-10*x-1.56-11.957863928815.8101360712-0.80365838-2.78164580748.484271951-0.4757992751-0.51053655325.3793809489-0.3808930846-0.04214677374.4921817818-0.3715108343-0.00040996674.4047998768-0.3714177616-0.00000004034.4039333441-0.371417752504.4039332588-0.371417752504.4039332588ITERASIXf(x)=EXP^x-5*x^2f'(x)=exp^x-10*x-2.76-38.024708231627.6632917684-1.3854452814-9.34708077914.1046651743-0.7227510123-2.12643009417.7129251576-0.4470540425-0.3597772385.1100497717-0.3766482238-0.0231620174.452639643-0.3714463618-0.00012599724.4041996186-0.3714177533-0.00000000384.4039332669-0.371417752504.4039332588-0.371417752504.4039332588ITERASIXf(x)=EXP^x-5*x^2f'(x)=exp^x-10*x-3.64-66.22174765636.426252344-1.8220323697-16.437312991318.3820204857-0.9278263707-3.90889661429.6736759636-0.5237507505-0.77927941715.8298023318-0.3900790799-0.08380510794.5777941342-0.3717722043-0.0015615674.4072333351-0.3714178852-0.00000058444.4039344943-0.3714177525-04.4039332588-0.371417752504.4039332588-0.371417752504.4039332588

Sheet2

Sheet3