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Detemine the matrix A = (a(ij))(3 xx 2) ...

Detemine the matrix `A = (a_(ij))_(3 xx 2)` if `a_(ij) = 3i - 2j`

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FULL MARKS-ALGEBRA-Additional Questions Solved
  1. Form the quadratic equation whose roots are 3 + sqrt7, 3- sqrt7

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  2. If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0, t...

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  3. Detemine the matrix A = (a(ij))(3 xx 2) if a(ij) = 3i - 2j

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  4. If A= [(1,0,3),(4,5,2)] and B = [(-1,2,5),(7,3,1)] find B - A

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  5. Find x if [(2,x,3)] [(0),(x),(-1)]= 13

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  6. If A= [(1,0),(3,-1),(2,4)] and B= [(3,1,-2),(4,6,0)] find BA

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  7. Find the unknowns a, b, c, d in the given matrix equation. [(d+1,10...

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  8. Prove that [(3,5),(1,2)] and [(2,-5),(-1,3)] are multiplication is inv...

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  9. Solve x-(y)/(5) =6, y-(z)/(7)=8 , z-(x)/(2) = 10

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  10. Solve : 2(x+3)-10=6(32-3x)

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  11. Solve: 4x-7(2-x)=3x+2

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  12. Solve: (4t)/(t^2-25)=1/(5-t)

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  13. Find the G.C.D of x^(3) - 10x^(2) + 31x - 30 and 2x^(3) - 8x^(2) + 2x ...

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  14. The G.C.D of x^(4) + 3x^(3) + 5x^(2) + 26x + 56 and x^(4) + 2x^(3) - 4...

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  15. Find the values of "a" and "b" given that p(x) = (x^2 + 3x+2) (x^2 - 4...

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  16. Find the other polynomial g(x), given that LCM, HCF and p(x) as (x - 1...

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  17. Divide (2x^(2) + x-3)/((x-1)^(2)) " by " (2x^(2) + 5x +3)/(x^(2)-1)

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  18. Simplify (x-3)/(x^(2)-x-6) + (2x-1)/(2x^(2) + 5x-3) - (2x +5)/(x^(2) +...

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  19. Find the square root of (6x^(2) + 5x - 6) (6x^(2) - x - 2) (4x^(2) + 8...

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  20. Solve: (5x)/(3x-3)+6/(x+2)=5/3

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