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Solve the following system of homogeneou...

Solve the following system of homogeneous equations: `2x+3y-z=0` `x-y-2z=0` `3x+y+3z=0`

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To solve the given system of homogeneous equations, we will follow these steps: 1. **Write the system of equations**: The given equations are: \[ 2x + 3y - z = 0 \quad (1) \] \[ ...
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RD SHARMA-SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS-Solved Examples And Exercises
  1. The number of solution of the system of equations: 2x+y-z=7 x-3y+2z=1...

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  2. The system of equation x+y+z=2,3x-y+2z=6a n d3x+y+z=-18 has a unique s...

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  3. Solve the following system of homogeneous equations: 2x+3y-z=0 x-y-2z...

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  4. Given A=[[1,-1, 0], [2, 3, 4], [0, 1, 2]], B= [[2,2,-4],[-4,2,-4],[2,-...

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  5. If a1x+b1y+c1z=0, a2x+b2y+c2z=0, a3x+b3y+c3z=0 and |(a1,b1,c1),(a2,b...

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  6. Solve the following system of homogeneous equations: x+y-z=0 x-2y+...

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  7. If A=[[1,-1, 1],[ 2, 1,-3],[ 1, 1, 1]], find A^(-1) and hence solve th...

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  8. Show that the following system of equation is consistent. 2x-y+3z=5,3x...

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  9. Solve the following system of equations, using matrix method. x+2y+z=7...

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  10. The number of solutions of the system of equations: 2x+y-z=7 x-3y+2z=...

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  11. An amount of Rs 5000 is put into three investments at the rate of inte...

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  12. The sum of three numbers is 6. If we multiply the third number 2 and ...

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  13. Determine the product [[-4, 4, 4], [-7, 1, 3],[5, -3, -1]][[1, -1, 1]...

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  14. Express the following system of simultaneous linear equation as a m...

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  15. Use matrix method to solve the equations 5x - 7y = 2 and 7x - 5y = 3

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  16. Use matrix method to solve the following system of equations: x-2y-...

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  17. Solve the following system of equations, using matrix method. x+2y+z=7...

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  18. Use matrix method to examine the following system of equations for con...

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  19. Show that the following system of equation is consistent. 2x-y+3z=5,3x...

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  20. If A=[(1,2, 1), (-1, 1,1), (1, -3, 1)], find A^(-1) and hence solve th...

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