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Examine the consistency of the system of...

Examine the consistency of the system of equations : `x+y+z=1, 2x+3y+2z=2, ax+ay+2az =4`

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PSEB-DETERMINANTS-Exercise
  1. Examine the consistency of the system of equations : 2x-y=5, x+y=4

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  2. Examine the consistency of the system of equations : x+3y=5, 2x+6y=8

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  3. Examine the consistency of the system of equations : x+y+z=1, 2x+3y+2z...

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  4. Examine the consistency of the system of equations : 3x-y-2z=2, 2y-2z=...

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  5. Examine the consistency of the system of equations : 5x-y+4z=5, 2x+3y+...

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  6. Solve system of linear equations, using matrix method: 5x+2y=4, 7x+3y=...

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  7. Solve system of linear equations, using matrix method: 2x-y=-2, 3x+4y=...

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  8. Solve system of linear equations, using matrix method: 4x-3y=3, 3x-5y=...

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  9. Solve system of linear equations, using matrix method: 5x+2y=3, 3x+2y=...

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  10. Solve system of linear equations, using matrix method: 2x+y+z=1, x-2y-...

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  11. Solve the following system of linear equations by matrix method: x - y...

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  12. Solve the following system of linear equations by matrix method : 2x +...

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  13. Solve by matrix method x-y+2z=7 3x+4y-5z=-5 2x-y+3z=12

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  14. If A = [[2,-3,5],[3,2,-4],[1,1,-2]] find A^-1. Using A^-1 solve the s...

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  15. If A = [[2,-3,5],[3,2,-4],[1,1,-2]] find A^-1. Using A^-1 solve the s...

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  16. Prove that the determinant |[x,sintheta,costheta],[-sintheta,-x,1],[co...

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  17. Without expanding the determinant, prove that |[a,a^2,bc],[b,b^2,ca],[...

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  18. Evaluate |[cosalphacosbeta,cosalphasinbeta,-sinalpha],[-sinbeta,cosbet...

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  19. If a, b and c are real numbers, and triangle = |[b+c,c+a,a+b],[c+a,a+b...

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  20. Solve the equation |[x+a,x,x],[x,x+a,x],[x,x,x+a]| = 0 a ne 0

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