Gauss elimination method, Gauss Jordan method, Gauss Siedal method

Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve by Gauss Elimination method x_1-2x_2+3x_3=2 ; 3x_1-x_2+4x_3=4 ; 2x_1+x_2-2x_3=5 Solve by Gauss-Elimination method x+y+z=6; x+2y+3z=10; x+2y+2z=8   Gauss Jordan method problems Solve the following system of equations by Gauss Jordan method x+y+z=8 ; -x-y+2z=-4 ; 3x+5y-7z=14 Solve by Gauss Jordan method the…

Solve the equation by Gauss Siedal method 10x+2y+z=9 ; x+10y-z=-22 ; -2x+3y+10z=22

Solve the equation by Gauss Siedal method 10x+2y+z=9 ; x+10y-z=-22 ; -2x+3y+10z=22 Question Question Solve the equation by Gauss Siedal method 10x+2y+z=9 ; x+10y-z=-22 ; -2x+3y+10z=22 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve by Gauss Elimination method x_1-2x_2+3x_3=2 ;…

Solve the equation by Gauss Siedal method (Carry out 3 Iterations) 20x+y-2z=17 ; 3x+20y-z=-18 ; 2x-3y+20z=25

Solve the equation by Gauss Siedal method (Carry out 3 Iterations) 20x+y-2z=17 ; 3x+20y-z=-18 ; 2x-3y+20z=25 Question Question Solve the equation by Gauss Siedal method (Carry out 3 Iterations) 20x+y-2z=17 ; 3x+20y-z=-18 ; 2x-3y+20z=25 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7;…

Solve the system of equation by Gauss Siedal method 83x+11y-4z=95 ; 7x+52y+13z=104 ; 3x+8y+29z=71

Solve the system of equation by Gauss Siedal method 83x+11y-4z=95 ; 7x+52y+13z=104 ; 3x+8y+29z=71 Question Question Solve the system of equation by Gauss Siedal method 83x+11y-4z=95 ; 7x+52y+13z=104 ; 3x+8y+29z=71 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve by Gauss…

Solve the following system of equations by Gauss Jordan method 2x_1+x_2+3x_3=1 ; 4x_1+4x_2+7x_3=1 ; 2x_1+5x_2+9x_3=3

Solve the following system of equations by Gauss Jordan method 2x_1+x_2+3x_3=1 ; 4x_1+4x_2+7x_3=1 ; 2x_1+5x_2+9x_3=3 Question Question Solve the following system of equations by Gauss Jordan method 2x_1+x_2+3x_3=1 ; 4x_1+4x_2+7x_3=1 ; 2x_1+5x_2+9x_3=3 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve…

Solve the following system of equations by Gauss Jordan method. x+y+z=9 ; x-2y+3z=8 ; 2x+y-z=3

Solve the following system of equations by Gauss Jordan method. x+y+z=9 ; x-2y+3z=8 ; 2x+y-z=3 Question Question Solve the following system of equations by Gauss Jordan method. x+y+z=9 ; x-2y+3z=8 ; 2x+y-z=3 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve…

Solve by Gauss Jordan method the system of linear equation 2x+y+z=10 ; 3x+2y+3z=18 ; x+4y+9z=16

Solve by Gauss Jordan method the system of linear equation 2x+y+z=10 ; 3x+2y+3z=18 ; x+4y+9z=16 Question Question Solve by Gauss Jordan method the system of linear equation 2x+y+z=10 ; 3x+2y+3z=18 ; x+4y+9z=16 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve…

Solve the following system of equations by Gauss Jordan method x+y+z=8 ; -x-y+2z=-4 ; 3x+5y-7z=14

Solve the following system of equations by Gauss Jordan method x+y+z=8 ; -x-y+2z=-4 ; 3x+5y-7z=14 Question Question Solve the following system of equations by Gauss Jordan method x+y+z=8 ; -x-y+2z=-4 ; 3x+5y-7z=14 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve…

Solve by Gauss Elimination method x_1-2x_2+3x_3=2 ; 3x_1-x_2+4x_3=4 ; 2x_1+x_2-2x_3=5

Solve by Gauss Elimination method x_1-2x_2+3x_3=2 ; 3x_1-x_2+4x_3=4 ; 2x_1+x_2-2x_3=5 Question Question Solve by Gauss Elimination method x_1-2x_2+3x_3=2 ; 3x_1-x_2+4x_3=4 ; 2x_1+x_2-2x_3=5 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve by Gauss Elimination method x_1-2x_2+3x_3=2 ; 3x_1-x_2+4x_3=4 ; 2x_1+x_2-2x_3=5 Solve…

Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5;

Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Question Question Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5;   Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve by…

Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2

Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Question Question Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve by Gauss Elimination method x_1-2x_2+3x_3=2 ; 3x_1-x_2+4x_3=4 ;…

Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20

Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Question Question Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Topic Gauss elimination method, Gauss Jordan method, Gauss Siedal method Gauss elimination method problems Solve by Gauss elimination method 2x+y+4z=12; 4x+11y-z=33; 8x-3y+2z=20 Solve the following equations by Gauss elimination method x+2y+z=3; 2x+3y+2z=5; 3x-5y+5z=2 Solve the following system of equations by Gauss elimination method x_1+x_2+x_3+x_4=2; 2x_1-x_2+2x_3-x_4=-5; 3x_1+2x_2+3x_3+4x_4=7; x_1-2x_2-3x-3+2x_4=5; Solve by Gauss Elimination method x_1-2x_2+3x_3=2 ; 3x_1-x_2+4x_3=4 ; 2x_1+x_2-2x_3=5 Solve by Gauss-Elimination method x+y+z=6;…

Find the rank of the matrix [(2,-1,-3,-1),(1,2,3,-1),(1,0,1,1),(0,1,1,-1)]

Find the rank of the matrix [(2,-1,-3,-1),(1,2,3,-1),(1,0,1,1),(0,1,1,-1)] Question Question Find the rank of the matrix [(2,-1,-3,-1),(1,2,3,-1),(1,0,1,1),(0,1,1,-1)] Topics Rank of a Matrix Row Operations Related Problems Find the rank of the matrix A=[(2,1,3,5),(4,2,1,3),(8,4,7,13),(8,4,-3,-1)] by reducing it to echelon form Find the rank of the matrix [(1,1,1,6),(1,-1,2,5),(3,1,1,8),(2,-2,3,7)] Find the rank of the matrix A=[(0,1,-3,-1),(1,0,1,1),(3,1,0,2),(1,1,-2,0)] by reducing it to echelon form Find the rank of the matrix [(4,0,2,1),(2,1,3,4),(2,3,4,7),(2,3,1,4)] Find the rank of the matrix [(2,-1,-3,-1),(1,2,3,-1),(1,0,1,1),(0,1,1,-1)]  

Find the rank of the matrix [(4,0,2,1),(2,1,3,4),(2,3,4,7),(2,3,1,4)]

Find the rank of the matrix [(4,0,2,1),(2,1,3,4),(2,3,4,7),(2,3,1,4)] Question Question Find the rank of the matrix [(4,0,2,1),(2,1,3,4),(2,3,4,7),(2,3,1,4)] Topics Rank of a Matrix Row Operations Related Problems Find the rank of the matrix A=[(2,1,3,5),(4,2,1,3),(8,4,7,13),(8,4,-3,-1)] by reducing it to echelon form Find the rank of the matrix [(1,1,1,6),(1,-1,2,5),(3,1,1,8),(2,-2,3,7)] Find the rank of the matrix A=[(0,1,-3,-1),(1,0,1,1),(3,1,0,2),(1,1,-2,0)] by reducing it to echelon form Find the rank of the matrix [(4,0,2,1),(2,1,3,4),(2,3,4,7),(2,3,1,4)] Find the rank of the matrix [(2,-1,-3,-1),(1,2,3,-1),(1,0,1,1),(0,1,1,-1)]

Find the rank of the matrix A=[(0,1,-3,-1),(1,0,1,1),(3,1,0,2),(1,1,-2,0)] by reducing it to echelon form

Find the rank of the matrix A=[(0,1,-3,-1),(1,0,1,1),(3,1,0,2),(1,1,-2,0)] by reducing it to echelon form Question Question Find the rank of the matrix A=[(0,1,-3,-1),(1,0,1,1),(3,1,0,2),(1,1,-2,0)] by reducing it to echelon form Topics Rank of a Matrix Row Operations Related Problems Find the rank of the matrix A=[(2,1,3,5),(4,2,1,3),(8,4,7,13),(8,4,-3,-1)] by reducing it to echelon form Find the rank of the matrix [(1,1,1,6),(1,-1,2,5),(3,1,1,8),(2,-2,3,7)] Find the rank of the matrix A=[(0,1,-3,-1),(1,0,1,1),(3,1,0,2),(1,1,-2,0)] by reducing it to echelon form Find the rank of the matrix [(4,0,2,1),(2,1,3,4),(2,3,4,7),(2,3,1,4)] Find the rank…

Find the rank of the matrix [(1,1,1,6),(1,-1,2,5),(3,1,1,8),(2,-2,3,7)]

Find the rank of the matrix [(1,1,1,6),(1,-1,2,5),(3,1,1,8),(2,-2,3,7)] Question Question Find the rank of the matrix [(1,1,1,6),(1,-1,2,5),(3,1,1,8),(2,-2,3,7)] Topics Rank of a Matrix Row Operations Related Problems Find the rank of the matrix A=[(2,1,3,5),(4,2,1,3),(8,4,7,13),(8,4,-3,-1)] by reducing it to echelon form Find the rank of the matrix [(1,1,1,6),(1,-1,2,5),(3,1,1,8),(2,-2,3,7)] Find the rank of the matrix A=[(0,1,-3,-1),(1,0,1,1),(3,1,0,2),(1,1,-2,0)] by reducing it to echelon form Find the rank of the matrix [(4,0,2,1),(2,1,3,4),(2,3,4,7),(2,3,1,4)] Find the rank of the matrix [(2,-1,-3,-1),(1,2,3,-1),(1,0,1,1),(0,1,1,-1)]  

Find the rank of the matrix A=[(2,1,3,5),(4,2,1,3),(8,4,7,13),(8,4,-3,-1)] by reducing it to echelon form

Find the rank of the matrix A=[(2,1,3,5),(4,2,1,3),(8,4,7,13),(8,4,-3,-1)] by reducing it to echelon form Question Question Find the rank of the matrix A=[(2,1,3,5),(4,2,1,3),(8,4,7,13),(8,4,-3,-1)] by reducing it to echelon form Topics Rank of a Matrix Row Operations Related Problems Find the rank of the matrix A=[(2,1,3,5),(4,2,1,3),(8,4,7,13),(8,4,-3,-1)] by reducing it to echelon form Find the rank of the matrix [(1,1,1,6),(1,-1,2,5),(3,1,1,8),(2,-2,3,7)] Find the rank of the matrix A=[(0,1,-3,-1),(1,0,1,1),(3,1,0,2),(1,1,-2,0)] by reducing it to echelon form Find the rank of the matrix [(4,0,2,1),(2,1,3,4),(2,3,4,7),(2,3,1,4)] Find the rank…

Row Operations

Row Operations explained with an example   Topics Rank of a Matrix Row Operations Related Problems Find the rank of the matrix A=[(2,1,3,5),(4,2,1,3),(8,4,7,13),(8,4,-3,-1)] by reducing it to echelon form Find the rank of the matrix [(1,1,1,6),(1,-1,2,5),(3,1,1,8),(2,-2,3,7)] Find the rank of the matrix A=[(0,1,-3,-1),(1,0,1,1),(3,1,0,2),(1,1,-2,0)] by reducing it to echelon form Find the rank of the matrix [(4,0,2,1),(2,1,3,4),(2,3,4,7),(2,3,1,4)] Find the rank of the matrix [(2,-1,-3,-1),(1,2,3,-1),(1,0,1,1),(0,1,1,-1)]  

Rank of a Matrix

Rank of a Matrix Elementary operations associated with a matrix Following are the elementary row transformations (can be applied for columns also) If matrix A gets transferred into another matrix B by applying any of the above transformation, then A is said to be equivalent to B,(A~B) Echelon form A matrix A of order m×n is said to be in a row reduced echelon form if 1. The leading element (the first non-zero entry )of each row is unity .…

If u=x+y+z, uv=y+z,uvw=z, then find delta(x,y,z)/delta(u,v,w)

If u=x+y+z, uv=y+z,uvw=z, then find ∂(x,y,z)/∂(u,v,w) If u=x+y+z, uv=y+z,uvw=z, then find delta(x,y,z)/delta(u,v,w) Question Question If u=x+y+z, uv=y+z,uvw=z, then find ∂(x,y,z)/∂(u,v,w) If u=x+y+z, uv=y+z,uvw=z, then find delta(x,y,z)/delta(u,v,w) Jacobian matrix problems If u=yz/x, r=zx/y, w=xy/z, Show that J [(u, v, w)/ (x, y, z)] =4 If u=x+3y^2, v=4x^2 yz, w=2z^2-xy, Evaluate del (u,v,w)/del (x,y,z) at the point (1,-1, 0) If u=(x_2 x_3)/x_1, v=(x_1 x_3)/x_2, w=(x_1 x_2)/x_3 find the value of Jacobian J del (u,v,w)/del(x_1,x_2,x_3) If u=x^2+y^2+z^2, v=xy+yz+zx, w=x+y+z find the value of…