Contoh Latihan Gauss Jordan & Invers Matriks

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Gauss Jordan

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Gaus JordanSISTEM PERSAMAAN LINIER (SPL)METODE GAUSS JORDAN3x1 - 0.1x2 - 0.2x3 = 7.850.1x1 + 7x2 - 0.3x3 = -19.30.3x1 - 0.2x2 + 10x3 = 71.4STEP 1Susun persamaan ke bentuk matriks :3-0.1-0.27.850.17-0.3-19.30.3-0.21071.4STEP 21-0.0333333333-0.06666666672.6166666667 ==>Ubah konstanta x1 menjadi 107.0033333333-0.2933333333-19.5616666667 ==>Ubah konstanta x1 menjadi 00-0.1910.0270.615 ==>Ubah konstanta x1 menjadi 0STEP 310-0.06806282722.5235602094 ==>Ubah konstanta x2 menjadi 001-0.0418848168-2.7931937173 ==>Ubah konstanta x2 menjadi 10010.012041884870.0842931937 ==>Ubah konstanta x2 menjadi 0STEP 41003 ==>Ubah konstanta x3 menjadi 0010-2.5 ==>Ubah konstanta x3 menjadi 00017 ==>Ubah konstanta x3 menjadi 1x1=3x2=-2.5x3=7

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Gauss Jordan lagi13563568689413560-4-9-100-10-21-3210-1.75-1.5012.252.5001.5-7100-9.666666666701013001-4.6666666667x1-9.6666666667x213x3-4.6666666667

GAUSS JORDAN & INVERS MATRIKS25A +2B-31C+14D=257B +15C-24D=185A-14C+20D=326A-42B+15C=16Selesaikan dengan metode 1. Gauss Jordan2. Metode Matrik InversA.X=CX=A-1.CGAUS JORDAN252-3114257.6418291237250715-24183.55454504521850-1420327.9626611439326-42150165.263405519816STEP 1252-3114250715-241850-1420326-4215016STEP 210.08-1.240.5610715-24180-0.4-7.817.2270-42.4822.44-3.3610STEP 310-1.41142857140.83428571430.7942857143012.1428571429-3.42857142862.571428571400-6.942857142915.828571428628.028571428600113.4685714286-149.0057142857119.2342857143STEP 4100-2.3835390947-4.90370370370101.456790123511.2222222222001-2.2798353909-4.037037037000109.6839506173577.3111111111STEP 510007.641829123701003.554545045200107.962661143900015.2634055198METODE INVERS252-3114250715-241850-1420326-4215016STEP 1252-311410000715-24010050-142000106-421500001STEP 210.08-1.240.560.040000715-2401000-0.4-7.817.2-0.20100-42.4822.44-3.36-0.24001STEP 310-1.41142857140.83428571430.04-0.011428571400012.1428571429-3.428571428600.14285714290000-6.942857142915.8285714286-0.20.05714285711000113.4685714286-149.0057142857-0.246.068571428601STEP 4100-2.38353909470.0806584362-0.0230452675-0.203292181100101.4567901235-0.06172839510.16049382720.30864197530001-2.27983539090.0288065844-0.0082304527-0.14403292180000109.6839506173-3.50864197537.002469135816.34320987651STEP 510000.00441222820.12912520820.15186169020.02173097410100-0.01512763950.0674890820.091576246-0.01328170730010-0.04412228180.13731934630.19566881280.02078549670001-0.03198865430.06384224030.14900274640.0091171041