Vektor

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2x-4y=8 10x+2y=-12 2 -4 x 8 10 2y -12 invers 0.045454545 0.0909090909 -0.22727273 0.0454545455 hasil x = -0.727272727 y = -2.363636364 x+2y=-1 4x-3y=18 1 2= -1 4 -3 = 18 invers 0.272727273 0.1818181818 0.363636364 -0.090909091 x 3 y -2 x y r sin α cos α tan α 4 3 5 36.8699 36.8699 36.8699 x 2 α 30 b 25 y -3 p= -0.15764588

description

Vektor

Transcript of Vektor

matrix 12x-4y=810x+2y=-12

2-4x8102y-12

invers0.04545454550.0909090909-0.22727272730.0454545455hasilx =-0.7272727273y =-2.3636363636x+2y=-14x-3y=1812=-14-3=18

invers0.27272727270.18181818180.3636363636-0.0909090909x3y-2

xyrsin cos tan 43536.869897645836.869897645836.8698976458x230b25y-3p=-0.1576458844

matrix 2MATRIX 2X2MATRIX 2X1DETERMINAN

A=-30D=2-1E=4det(A)=-1274348det(b)=-15det(c)=-4B=2-1DXE=0det(d)=11-7-444

C=10AXB=-63a13-2-2b96-4-2-4-14-2310-31470-1071-4011CXD=2-1A+B=-1-1A-B=-51-16-142a-b17-1002bxa234-24160014816-13280-420MATRIX 3X3-1614-980022A+C=-20A-C=-40f=10250983-41423inversa0.05882352940.07058823530.04705882350.11764705880.04117647060.19411764712A=-602(A+B)=-2-2g=34-1-0.23529411760.41764705880.111764705914800021312

3C+4B-2A+3(A+B)=14-7fxg=963-48-36125-521234

pers. linearcontoh : Advance hal.2955.6.4.0,8 x + 1,2 y - 0,5z =-7,80.81.2-0.5x-7.80014x-2y-4z=04y-2z=204-2x212,6x+1,7z=15,32.601.7y15.30018x-2y-6z=06x-2y+z=296-21y2924x-7,3y-1,5z=1,14-7.3-1.5z1.1004x+8y-14z=04x+8y-4z=2448-4z243-3.520-3.74x-27.36014-2-4x0ditambah 1 -->15-1-3x115-1x34pers. 1+13.612.7y16.30018-2-6y0ditambah 1 -->19-1-5y10-327y115pers 2 -pers 4*630.28018.21z120.09048-14z0ditambah 1 -->59-13z10-120z126pers 3 - pers (4) *4101.0625x7.7731-0.0666666667-0.2x0.0666666667100.09375x4.718757Pers 1 - pers 2 *501-1.125y-11.68200.2666666667-1.2y-0.266666666701-0.21875y-0.343758Pers 2 /-3200-13.9625z-115.26809.3333333333-12z0.666666666700-2.625z7.8759pers. 3 -pers 2 *-12100x-0.99910-0.5x0100x510pers 1-pers. 3 *0,09375010y-2.39401-4.5y-1010y-111pers. 2 -pers. 3 *0,21875001z8.2560030z10001z-312per. 3 / -2,625pembuktian =pembuktian =100x0.1666666667-7.80010y0.5211.43756409210001z0.3333333333291.10247.8.y+z=-2> --- +1122-12x+y-3z=821-3x8.0004y+6z=-12> --- +1157-115x+2z=3> --- +1612y4.000x+y+z=211128x-y+7z=08-17z0.000

122-1-40-54035-1061240-1-1314094

10-1.33333333335.6666666667101.25-1011.6666666667-3.333333333301-5.510000.6666666667-0.333333333300-8.518

10051001.6470588235010-2.5010-1.6470588235001-0.5001-2.1176470588

pembuktian =pembuktian =-38-13420

Per. Linearcontoh : Advance hal.2955.6.4.0,8 x + 1,2 y - 0,5z =-7,80.81.2-0.5x-7.80014x-2y-4z=04y-2z=204-2x212,6x+1,7z=15,32.601.7y15.30018x-2y-6z=06x-2y+z=296-21y2924x-7,3y-1,5z=1,14-7.3-1.5z1.1004x+8y-14z=04x+8y-4z=2448-4z24311.5-0.625x-9.7514-2-4x0ditambah 1 -->15-1-3x115-1x34pers. 1+10-3.93.325y40.6518-2-6y0ditambah 1 -->19-1-5y10-327y115pers 2 -pers 4*60-13.31z40.148-14z0ditambah 1 -->59-13z10-120z126pers 3 - pers (4) *4100.6538461538x5.88461538461-0.0666666667-0.2x0.0666666667100.09375x4.718757Pers 1 - pers 2 *501-0.8525641026y-10.423076923100.2666666667-1.2y-0.266666666701-0.21875y-0.343758Pers 2 /-3200-10.3391025641z-98.526923076909.3333333333-12z0.666666666700-2.625z7.8759pers. 3 -pers 2 *-12100x-0.346239692510-0.5x0100x510pers 1-pers. 3 *0,0937501-0y-2.298530597101-4.5y-1010y-111pers. 2 -pers. 3 *0,21875001z9.52954305910030z10001z-312per. 3 / -2,625pembuktian =pembuktian =100x0.1666666667-7.80010y0.5215.30001z0.3333333333291.10247.8.8.8.y+z=-2011-22x+y-3z=821-3x8.0002x+y-3z=821-3x8.0002x+y-3z=821-3x8.0004y+6z=-12046-125x+2z=3502y3.0005x+2z=3ditambah +1613y4.0005x+2z=3502y3.000x+y+z=211128x-y+7z=08-17z0.0008x-y+7z=08-17z0.0008x-y+7z=0ditambah 1908z1.000

-100-41.0000.500-1.5004.00010.5-1.5410.5-1.54-6-20-240.000-2.5009.500-17.0000-212-200-2.59.5-1711120.000-5.00019.000-32.0000-519-320-4.521.5-35

-100-41001101.5-1100.40.63101201-4701-61001-3.86.8-201-10000200-1118004.4-4.4

10041001.4545454545100101000100.18181818180103pembuktian =001-2pembuktian =001-1.6363636364001-1-2088-12043200-2

0.81.2-0.6-132.621.764-7.3-1.57

11.5-0.750-16.250-1.93.65048.250-13.31.5072

102.1315789474021.842105263201-1.92105263160-25.394736842100-24.050-265.75

10-00-1.711632158901-00-4.1673340355001011.0498960499

Vektor=30a=5ax4.3301270189ay2.5a=5=3030=45=60=30a=20b=30c=10ax=14.1421356237bx=15cx=8.6602540378ay=14.1421356237by=25.9807621135cy=5a=20b=30c=10=45=60=30x=-9.5181184141y=45.1228977373R=46.1158376087=-78.0887758484f1f2f1xf1yf2xf2yw3013025.98076211351591.923881554391.923881554320-65.9431194407-65.943119440786.923881554386.9238815543109.106627599109.106627599-52.8149318782-52.8149318782f(x)=2x+3f2(x)=-2x+3f3(x)=2x^2+5xf(x)f2(x)f3(x)-3-3913-2-173-115-3033-5151-327-1339-313411-527513-745615-967717-1193xy-3-327-2-214-1-1300-611-1322-1833-2144-22

22 okt1y=4z=5=53.1301023542x=332=30=45m=1F1=20F2=20g=10F1x=17.3205080757F2x=14.1421356237w=10F1y=10F2y=14.1421356237x=3.178372452y=14.1421356237R=14.4948974278=77.33353069353i4A=4j05k19i3A=12j15k