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If A=[1-1 1 2 1-3 1 1 1], find A^(-1) an...

If `A=[1-1 1 2 1-3 1 1 1],` find `A^(-1)` and hence solve the system of linear equation. `x+2y+z=4,-x+y+z=0,x-3y+z=2`

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### Step-by-Step Solution Given matrix \( A \) and system of linear equations: \[ A = \begin{bmatrix} 1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1 \end{bmatrix} \] System of equations: \[ x + 2y + z = 4 \] ...
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RD SHARMA-SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS-Solved Examples And Exercises
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  2. Solve the following system of homogeneous equations: x+y-z=0 x-2y+...

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

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

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

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

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

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

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

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

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

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  17. If A=[(1,2,-3),(2,3,2),(3,-3,-4)] then find A^-1 and hence solve the f...

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

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

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  20. Solve the following system of equations by matrix method: 5x+7y+2=0...

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