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1. Find Inverse of matrix A
A = OR A =

 2. Solve Simultaneous Equations Enter Equations with ',' seperated: OR Enter Equations line by line: 2x+y+z=5 3x+5y+2z=15 2x+y+4z=8
SolutionHelp1.1 Inverse1.2 Inverse Guess Elimination2.1 Inverse Matrix2.2 Cramer's Rule2.3 Gauss Elimination2.4 Gauss Sield
 2. Solve Simultaneous Equations using Cramer's Rule method 2. Solve Equations 2x+y+z=5,3x+5y+2z=15,2x+y+4z=8 using Cramer's Rule methodThe equations can be expressed as 2x+y+z-5=03x+5y+2z-15=02x+y+4z-8=0Use Cramer’s Rule to find the values of x, y, z.(x)/D_x=(-y)/D_y=(z)/D_z=(-1)/D D_x =|[1,1,-5],[5,2,-15],[1,4,-8]| = 1 (2 × -8 - -15 × 4) - 1 (5 × -8 - -15 × 1) + (-5) (5 × 4 - 2 × 1) = 1 (-16 - -60) - 1 (-40 - -15) - 5 (20 - 2) = 1 (44) - 1 (-25) - 5 (18) = 44 + 25 - 90 = -21 D_y =|[2,1,-5],[3,2,-15],[2,4,-8]| = 2 (2 × -8 - -15 × 4) - 1 (3 × -8 - -15 × 2) + (-5) (3 × 4 - 2 × 2) = 2 (-16 - -60) - 1 (-24 - -30) - 5 (12 - 4) = 2 (44) - 1 (6) - 5 (8) = 88 - 6 - 40 = 42 D_z =|[2,1,-5],[3,5,-15],[2,1,-8]| = 2 (5 × -8 - -15 × 1) - 1 (3 × -8 - -15 × 2) + (-5) (3 × 1 - 5 × 2) = 2 (-40 - -15) - 1 (-24 - -30) - 5 (3 - 10) = 2 (-25) - 1 (6) - 5 (-7) = -50 - 6 + 35 = -21 D =|[2,1,1],[3,5,2],[2,1,4]| = 2 (5 × 4 - 2 × 1) - 1 (3 × 4 - 2 × 2) + 1 (3 × 1 - 5 × 2) = 2 (20 - 2) - 1 (12 - 4) + 1 (3 - 10) = 2 (18) - 1 (8) + 1 (-7) = 36 - 8 - 7 = 21(x)/D_x=(-y)/D_y=(z)/D_z=(-1)/D:. (x)/-21=(-y)/42=(z)/-21=(-1)/21:. (x)/-21=(-1)/21,(-y)/42=(-1)/21,(z)/-21=(-1)/21:. x=(21)/(21),y=(42)/(21),z=(21)/(21):. x=1,y=2,z=1