Rjesavanje Sistema Jednacina

Sistem jednaina

Sistem 2x2Rjeavanje sistema 2 jednaine sa 2 nepoznate:Format:Jedn. #1:a1*(X1)+ b1*(X2)=C1Jedn. #2:a2*(X1)+ b2*(X2)=C2Unesite koeficijente matrice:Unesite vrijednosti slobodnih lanova:abC1:1.00001.00001:1.00002:1.00001.00002:1.00001:2:2x2 inverzna matrica:1:0.00000.00002:0.00000.0000Rezultati sistema 2x2:X1 =0.0000X2 =0.0000

Sistem 3x3Rjeavanje sistema 3 jednaine sa 3 nepoznate:Format:Jedn. #1:a1*(X1)+ b1*(X2)+ c1*(X3)=C1Jedn. #2:a2*(X1)+ b2*(X2)+ c2*(X3)=C2Jedn. #3:a3*(X1)+ b3*(X2)+ c3*(X3)=C3Unesite koeficijente matrice:Unesite vrijednosti slobodnih lanova:abcC1:1.00001.00001.00001:1.00002:1.00001.00001.00002:1.00003:1.00001.00001.00003:1.00001:2:3:3x3 inverzna matrica:1:0.00000.00000.00002:0.00000.00000.00003:0.00000.00000.0000Rezultati sistema 3x3:X1 =0.0000X2 =0.0000X3 =0.0000

Sistem 4x4Rjeavanje sistema 4 jednaine sa 4 nepoznate:Format:Jedn. #1:a1*(X1)+ b1*(X2)+ c1*(X3)+ d1*(X4)=C1Jedn. #2:a2*(X1)+ b2*(X2)+ c2*(X3)+ d2*(X4)=C2Jedn. #3:a3*(X1)+ b3*(X2)+ c3*(X3)+ d3*(X4)=C3Jedn. #4:a4*(X1)+ b4*(X2)+ c4*(X3)+ d4*(X4)=C4Unesite koeficijente matrice:Unesite vrijednosti slobodnih lanova:abcdC1:1.00001.00001.00001.00001:1.00002:1.00001.00001.00001.00002:1.00003:1.00001.00001.00001.00003:1.00004:1.00001.00001.00001.00004:1.00001:2:3:4:4x4 inverzna matrica:1:0.00000.00000.00000.00002:0.00000.00000.00000.00003:0.00000.00000.00000.00004:0.00000.00000.00000.0000Rezultati sistema 4x4:X1 =0.0000X2 =0.0000X3 =0.0000X4 =0.0000

Sistem 5x5Rjeavanje sistema 5 jednaina sa 5 nepoznatih:Format:Jedn. #1:a1*(X1)+ b1*(X2)+ c1*(X3)+ d1*(X4)+ e1*(X5)=C1Jedn. #2:a2*(X1)+ b2*(X2)+ c2*(X3)+ d2*(X4)+ e2*(X5)=C2Jedn. #3:a3*(X1)+ b3*(X2)+ c3*(X3)+ d3*(X4)+ e3*(X5)=C3Jedn. #4:a4*(X1)+ b4*(X2)+ c4*(X3)+ d4*(X4)+ e4*(X5)=C4Jedn. #5:a5*(X1)+ b5*(X2)+ c5*(X3)+ d5*(X4)+ e5*(X5)=C5Unesite koeficijente matrice:Unesite vrijednosti slobodnih lanova:abcdeC1:1.00001.00001.00001.00001.00001:1.00002:1.00001.00001.00001.00001.00002:1.00003:1.00001.00001.00001.00001.00003:1.00004:1.00001.00001.00001.00001.00004:1.00005:1.00001.00001.00001.00001.00005:1.00001:2:3:4:5:5x5 inverzna matrica:1:0.00000.00000.00000.00000.00002:0.00000.00000.00000.00000.00003:0.00000.00000.00000.00000.00004:0.00000.00000.00000.00000.00005:0.00000.00000.00000.00000.0000Rezultati sistema 5x5:X1 =0.0000X2 =0.0000X3 =0.0000X4 =0.0000X5 =0.0000

Sistem 6x6Rjeavanje sistema 5 jednaina sa 5 nepoznatih:Format:Jedn. #1:a1*(X1)+ b1*(X2)+ c1*(X3)+ d1*(X4)+ e1*(X5)+ f1*(X6)=C1Jedn. #2:a2*(X1)+ b2*(X2)+ c2*(X3)+ d2*(X4)+ e2*(X5)+ f2*(X6)=C2Jedn. #3:a3*(X1)+ b3*(X2)+ c3*(X3)+ d3*(X4)+ e3*(X5)+ f3*(X6)=C3Jedn. #4:a4*(X1)+ b4*(X2)+ c4*(X3)+ d4*(X4)+ e4*(X5)+ f4*(X6)=C4Jedn. #5:a5*(X1)+ b5*(X2)+ c5*(X3)+ d5*(X4)+ e5*(X5)+ f5*(X6)=C5Jedn. #6:a6*(X1)+ b6*(X2)+ c6*(X3)+ d6*(X4)+ e6*(X5)+ f6*(X6)=C6Unesite koeficijente matrice:Unesite vrijednosti slobodnih lanova:abcdefC1:1.00001.00001.00001.00001.00001.00001:1.00002:1.00001.00001.00001.00001.00001.00002:1.00003:1.00001.00001.00001.00001.00001.00003:1.00004:1.00001.00001.00001.00001.00001.00004:1.00005:1.00001.00001.00001.00001.00001.00005:1.00006:1.00001.00001.00001.00001.00001.00006:1.00001:2:3:4:5:6:6x6 inverzna matrica:1:0.00000.00000.00000.00000.00000.00002:0.00000.00000.00000.00000.00000.00003:0.00000.00000.00000.00000.00000.00004:0.00000.00000.00000.00000.00000.00005:0.00000.00000.00000.00000.00000.00006:0.00000.00000.00000.00000.00000.0000Rezultati sistema 6x6:X1 =0.0000X2 =0.0000X3 =0.0000X4 =0.0000X5 =0.0000X6 =0.0000

Sistem 7x7Rjeavanje sistema 7 jednaina sa 7 nepoznatih:Format:Jedn. #1:a1*(X1)+ b1*(X2)+ c1*(X3)+ d1*(X4)+ e1*(X5)+ f1*(X6)+ g1*(X7)=C1Jedn. #2:a2*(X1)+ b2*(X2)+ c2*(X3)+ d2*(X4)+ e2*(X5)+ f2*(X6)+ g2*(X7)=C2Jedn. #3:a3*(X1)+ b3*(X2)+ c3*(X3)+ d3*(X4)+ e3*(X5)+ f3*(X6)+ g3*(X7)=C3Jedn. #4:a4*(X1)+ b4*(X2)+ c4*(X3)+ d4*(X4)+ e4*(X5)+ f4*(X6)+ g4*(X7)=C4Jedn. #5:a5*(X1)+ b5*(X2)+ c5*(X3)+ d5*(X4)+ e5*(X5)+ f5*(X6)+ g5*(X7)=C5Jedn. #6:a6*(X1)+ b6*(X2)+ c6*(X3)+ d6*(X4)+ e6*(X5)+ f6*(X6)+ g6*(X7)=C6Jedn. #7:a7*(X1)+ b7*(X2)+ c7*(X3)+ d7*(X4)+ e7*(X5)+ f7*(X6)+ g7*(X7)=C7Unesite koeficijente matrice:Unesite vrijednosti slobodnih lanova:abcdefgC1:1.00001.00001.00001.00001.00001.00001.00001:1.00002:1.00001.00001.00001.00001.00001.00001.00002:1.00003:1.00001.00001.00001.00001.00001.00001.00003:1.00004:1.00001.00001.00001.00001.00001.00001.00004:1.00005:1.00001.00001.00001.00001.00001.00001.00005:1.00006:1.00001.00001.00001.00001.00001.00001.00006:1.00007:1.00001.00001.00001.00001.00001.00001.00007:1.00001:2:3:4:5:6:7:7x7 inverzna matrica:1:0.00000.00000.00000.00000.00000.00000.00002:0.00000.00000.00000.00000.00000.00000.00003:0.00000.00000.00000.00000.00000.00000.00004:0.00000.00000.00000.00000.00000.00000.00005:0.00000.00000.00000.00000.00000.00000.00006:0.00000.00000.00000.00000.00000.00000.00007:0.00000.00000.00000.00000.00000.00000.0000Rezultati sistema 7x7:X1 =0.0000X2 =0.0000X3 =0.0000X4 =0.0000X5 =0.0000X6 =0.0000X7 =0.0000

Sistem 8x8Rjeavanje sistema 8 jednaina sa 8 nepoznatih:Format:Jedn. #1:a1*(X1)+ b1*(X2)+ c1*(X3)+ d1*(X4)+ e1*(X5)+ f1*(X6)+ g1*(X7)+ h1*(X8)=C1Jedn. #2:a2*(X1)+ b2*(X2)+ c2*(X3)+ d2*(X4)+ e2*(X5)+ f2*(X6)+ g2*(X7)+ h2*(X8)=C2Jedn. #3:a3*(X1)+ b3*(X2)+ c3*(X3)+ d3*(X4)+ e3*(X5)+ f3*(X6)+ g3*(X7)+ h3*(X8)=C3Jedn. #4:a4*(X1)+ b4*(X2)+ c4*(X3)+ d4*(X4)+ e4*(X5)+ f4*(X6)+ g4*(X7)+ h4*(X8)=C4Jedn. #5:a5*(X1)+ b5*(X2)+ c5*(X3)+ d5*(X4)+ e5*(X5)+ f5*(X6)+ g5*(X7)+ h5*(X8)=C5Jedn. #6:a6*(X1)+ b6*(X2)+ c6*(X3)+ d6*(X4)+ e6*(X5)+ f6*(X6)+ g6*(X7)+ h6*(X8)=C6Jedn. #7:a7*(X1)+ b7*(X2)+ c7*(X3)+ d7*(X4)+ e7*(X5)+ f7*(X6)+ g7*(X7)+ h7*(X8)=C7Jedn. #8:a8*(X1)+ b8*(X2)+ c8*(X3)+ d8*(X4)+ e8*(X5)+ f8*(X6)+ g8*(X7)+ h8*(X8)=C8Unesite koeficijente matrice:Unesite vrijednosti slobodnih lanova:abcdefghC1:1.00001.00001.00001.00001.00001.00001.00001.00001:1.00002:1.00001.00001.00001.00001.00001.00001.00001.00002:1.00003:1.00001.00001.00001.00001.00001.00001.00001.00003:1.00004:1.00001.00001.00001.00001.00001.00001.00001.00004:1.00005:1.00001.00001.00001.00001.00001.00001.00001.00005:1.00006:1.00001.00001.00001.00001.00001.00001.00001.00006:1.00007:1.00001.00001.00001.00001.00001.00001.00001.00007:1.00008:1.00001.00001.00001.00001.00001.00001.00001.00008:1.00001:2:3:4:5:6:7:8:8x8 inverzna matrica:1:0.00000.00000.00000.00000.00000.00000.00000.00002:0.00000.00000.00000.00000.00000.00000.00000.00003:0.00000.00000.00000.00000.00000.00000.00000.00004:0.00000.00000.00000.00000.00000.00000.00000.00005:0.00000.00000.00000.00000.00000.00000.00000.00006:0.00000.00000.00000.00000.00000.00000.00000.00007:0.00000.00000.00000.00000.00000.00000.00000.00008:0.00000.00000.00000.00000.00000.00000.00000.0000Rezultati sistema 8x8:X1 =0.0000X2 =0.0000X3 =0.0000X4 =0.0000X5 =0.0000X6 =0.0000X7 =0.0000X8 =0.0000

Sistem 9x9Rjeavanje sistema 9 jednaina sa 9 nepoznatih:Format:Jedn. #1:a1*(X1)+ b1*(X2)+ c1*(X3)+ d1*(X4)+ e1*(X5)+ f1*(X6)+ g1*(X7)+ h1*(X8)+ j1*(X9)=C1Jedn. #2:a2*(X1)+ b2*(X2)+ c2*(X3)+ d2*(X4)+ e2*(X5)+ f2*(X6)+ g2*(X7)+ h2*(X8)+ j2*(X9)=C2Jedn. #3:a3*(X1)+ b3*(X2)+ c3*(X3)+ d3*(X4)+ e3*(X5)+ f3*(X6)+ g3*(X7)+ h3*(X8)+ j3*(X9)=C3Jedn. #4:a4*(X1)+ b4*(X2)+ c4*(X3)+ d4*(X4)+ e4*(X5)+ f4*(X6)+ g4*(X7)+ h4*(X8)+ j4*(X9)=C4Jedn. #5:a5*(X1)+ b5*(X2)+ c5*(X3)+ d5*(X4)+ e5*(X5)+ f5*(X6)+ g5*(X7)+ h5*(X8)+ j5*(X9)=C5Jedn. #6:a6*(X1)+ b6*(X2)+ c6*(X3)+ d6*(X4)+ e6*(X5)+ f6*(X6)+ g6*(X7)+ h6*(X8)+ j6*(X9)=C6Jedn. #7:a7*(X1)+ b7*(X2)+ c7*(X3)+ d7*(X4)+ e7*(X5)+ f7*(X6)+ g7*(X7)+ h7*(X8)+ j7*(X9)=C7Jedn. #8:a8*(X1)+ b8*(X2)+ c8*(X3)+ d8*(X4)+ e8*(X5)+ f8*(X6)+ g8*(X7)+ h8*(X8)+ j8*(X9)=C8Jedn. #9:a9*(X1)+ b9*(X2)+ c9*(X3)+ d9*(X4)+ e9*(X5)+ f9*(X6)+ g9*(X7)+ h9*(X8)+ j9*(X9)=C9Unesite koeficijente matrice:Unesite vrijednosti slobodnih lanova:abcdefghjC1:1.00001.00001.00001.00001.00001.00001.00001.00001.00001:1.00002:1.00001.00001.00001.00001.00001.00001.00001.00001.00002:1.00003:1.00001.00001.00001.00001.00001.00001.00001.00001.00003:1.00004:1.00001.00001.00001.00001.00001.00001.00001.00001.00004:1.00005:1.00001.00001.00001.00001.00001.00001.00001.00001.00005:1.00006:1.00001.00001.00001.00001.00001.00001.00001.00001.00006:1.00007:1.00001.00001.00001.00001.00001.00001.00001.00001.00007:1.00008:1.00001.00001.00001.00001.00001.00001.00001.00001.00008:1.00009:1.00001.00001.00001.00001.00001.00001.00001.00001.00009:1.00001:2:3:4:5:6:7:8:9:9x9 inverzna matrica:1:0.00000.00000.00000.00000.00000.00000.00000.00000.00002:0.00000.00000.00000.00000.00000.00000.00000.00000.00003:0.00000.00000.00000.00000.00000.00000.00000.00000.00004:0.00000.00000.00000.00000.00000.00000.00000.00000.00005:0.00000.00000.00000.00000.00000.00000.00000.00000.00006:0.00000.00000.00000.00000.00000.00000.00000.00000.00007:0.00000.00000.00000.00000.00000.00000.00000.00000.00008:0.00000.00000.00000.00000.00000.00000.00000.00000.00009:0.00000.00000.00000.00000.00000.00000.00000.00000.0000Rezultati sistema 9x9:X1 =0.0000X2 =0.0000X3 =0.0000X4 =0.0000X5 =0.0000X6 =0.0000X7 =0.0000X8 =0.0000X9 =0.0000

Sistem 10x10Rjeavanje sistema 10 jednaina sa 10 nepoznatih:Format:Jedn. #1:a1*(X1)+ b1*(X2)+ c1*(X3)+ d1*(X4)+ e1*(X5)+ f1*(X6)+ g1*(X7)+ h1*(X8)+ j1*(X9)+ k1*(X10)=C1Jedn. #2:a2*(X1)+ b2*(X2)+ c2*(X3)+ d2*(X4)+ e2*(X5)+ f2*(X6)+ g2*(X7)+ h2*(X8)+ j2*(X9)+ k2*(X10)=C2Jedn. #3:a3*(X1)+ b3*(X2)+ c3*(X3)+ d3*(X4)+ e3*(X5)+ f3*(X6)+ g3*(X7)+ h3*(X8)+ j3*(X9)+ k3*(X10)=C3Jedn. #4:a4*(X1)+ b4*(X2)+ c4*(X3)+ d4*(X4)+ e4*(X5)+ f4*(X6)+ g4*(X7)+ h4*(X8)+ j4*(X9)+ k4*(X10)=C4Jedn. #5:a5*(X1)+ b5*(X2)+ c5*(X3)+ d5*(X4)+ e5*(X5)+ f5*(X6)+ g5*(X7)+ h5*(X8)+ j5*(X9)+ k5*(X10)=C5Jedn. #6:a6*(X1)+ b6*(X2)+ c6*(X3)+ d6*(X4)+ e6*(X5)+ f6*(X6)+ g6*(X7)+ h6*(X8)+ j6*(X9)+ k6*(X10)=C6Jedn. #7:a7*(X1)+ b7*(X2)+ c7*(X3)+ d7*(X4)+ e7*(X5)+ f7*(X6)+ g7*(X7)+ h7*(X8)+ j7*(X9)+ k7*(X10)=C7Jedn. #8:a8*(X1)+ b8*(X2)+ c8*(X3)+ d8*(X4)+ e8*(X5)+ f8*(X6)+ g8*(X7)+ h8*(X8)+ j8*(X9)+ k8*(X10)=C8Jedn. #9:a9*(X1)+ b9*(X2)+ c9*(X3)+ d9*(X4)+ e9*(X5)+ f9*(X6)+ g9*(X7)+ h9*(X8)+ j9*(X9)+ k9*(X10)=C9Jedn. #10:a10*(X1)+ b10*(X2)+ c10*(X3)+ d10*(X4)+ e10*(X5)+ f10*(X6)+ g10*(X7)+ h10*(X8)+ j10*(X9)+ k10*(X10)=C10Unesite koeficijente matrice:Unesite vrijednosti slobodnih lanova:abcdefghjkC1:1.00001.00001.00001.00001.00001.00001.00001.00001.00001.00001:1.00002:1.00001.00001.00001.00001.00001.00001.00001.00001.00001.00002:1.00003:1.00001.00001.00001.00001.00001.00001.00001.00001.00001.00003:1.00004:1.00001.00001.00001.00001.00001.00001.00001.00001.00001.00004:1.00005:1.00001.00001.00001.00001.00001.00001.00001.00001.00001.00005:1.00006:1.00001.00001.00001.00001.00001.00001.00001.00001.00001.00006:1.00007:1.00001.00001.00001.00001.00001.00001.00001.00001.00001.00007:1.00008:1.00001.00001.00001.00001.00001.00001.00001.00001.00001.00008:1.00009:1.00001.00001.00001.00001.00001.00001.00001.00001.00001.00009:1.000010:1.00001.00001.00001.00001.00001.00001.00001.00001.00001.000010:1.00001:2:3:4:5:6:7:8:9:10:10x10 inverzna matrica:1:0.00000.00000.00000.00000.00000.00000.00000.00000.00000.00002:0.00000.00000.00000.00000.00000.00000.00000.00000.00000.00003:0.00000.00000.00000.00000.00000.00000.00000.00000.00000.00004:0.00000.00000.00000.00000.00000.00000.00000.00000.00000.00005:0.00000.00000.00000.00000.00000.00000.00000.00000.00000.00006:0.00000.00000.00000.00000.00000.00000.00000.00000.00000.00007:0.00000.00000.00000.00000.00000.00000.00000.00000.00000.00008:0.00000.00000.00000.00000.00000.00000.00000.00000.00000.00009:0.00000.00000.00000.00000.00000.00000.00000.00000.00000.000010:0.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000Rezultati sistema 10x10:X1 =0.0000X2 =0.0000X3 =0.0000X4 =0.0000X5 =0.0000X6 =0.0000X7 =0.0000X8 =0.0000X9 =0.0000X10 =0.0000