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Solve the following system of linear equ...

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

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

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

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

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

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

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

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

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

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

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

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

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  12. 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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  13. 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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  14. Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Verify that [adj A]^-1 = adj (A^-1...

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

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

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

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  18. Using properties of determinants, prove that: |[alpha,alpha^2,beta+gam...

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  19. Using properties of determinants, prove that: |[x,x^2,1+px^3],[y,y^2,1...

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  20. Using properties of determinants, prove that: |[3a,-a+b,-a+c],[-b+a,3b...

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