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Solve the following system of linear equ...

Solve the following system of linear equations by matrix method : `x - y + 2z = 7, 3x + 4y - 5z = -5, 2x -y + 3z = 12`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Use matrix methocd to solve the following system of equations: {:(x-y ...

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

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

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

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

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

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

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

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  9. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost of...

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

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

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

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

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

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  15. Prove that: |[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c...

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  16. If A^-1 = [[3,-1,1],[-15,6,-5],[5,-2,2]] and B = [[1,2,-2],[-1,3,0],[0...

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  17. Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Verify that [adj A]^-1 = adj (A^-1...

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  18. Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Verify that (A^-1)^-1 = A

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  19. Evaluate |[x,y,x+y],[y,x+y,x],[x+y,x,y]|

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  20. Evaluate |[1,x,y],[1,x+y,y],[1,x,x+y]|

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