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Ciência da Computação ·
Álgebra Linear
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6x 7y 2 0 x 5y 4z 5 4x 3y z 1 Decomposição Lu para solução do sistema A Lu Ax B LUx B Ly B Lu 6 7 1 1 5 4 4 3 1 L1 L2 L3 6 7 L1 0 32 23 L2 L2 16 0 53 83 L3 L3 23 L3 L3 16 1037 U 6 7 1 0 376 236 0 0 10037 Ax B Lux B L ux B Ly B 1 0 0 16 1 0 43 1037 1 6 5 y1 y2 y3 0 5 1 y1 0 16y y2 5 43y y3 1 23 1037 43 1037 125 y3 1 37 37 50 53 y3 1 80 y2 13 37 37 UXY 67 1 0 77 23 0 0 100 0 y1 y2 y3 5 13 37 6x 7y 0 27y 232 5 6 6 100 37 3 37 13 37 z 13 100 37 37 37 37 y 37 3701 y 2701 6 100 6x 7 0 37 13 100 6x 7 2701 37 13 100 0 Lx 51087
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6x 7y 2 0 x 5y 4z 5 4x 3y z 1 Decomposição Lu para solução do sistema A Lu Ax B LUx B Ly B Lu 6 7 1 1 5 4 4 3 1 L1 L2 L3 6 7 L1 0 32 23 L2 L2 16 0 53 83 L3 L3 23 L3 L3 16 1037 U 6 7 1 0 376 236 0 0 10037 Ax B Lux B L ux B Ly B 1 0 0 16 1 0 43 1037 1 6 5 y1 y2 y3 0 5 1 y1 0 16y y2 5 43y y3 1 23 1037 43 1037 125 y3 1 37 37 50 53 y3 1 80 y2 13 37 37 UXY 67 1 0 77 23 0 0 100 0 y1 y2 y3 5 13 37 6x 7y 0 27y 232 5 6 6 100 37 3 37 13 37 z 13 100 37 37 37 37 y 37 3701 y 2701 6 100 6x 7 0 37 13 100 6x 7 2701 37 13 100 0 Lx 51087