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show that matrix A = [(3,4),(1,2)] satis...

show that matrix `A = [(3,4),(1,2)]` satisfies the equation `A^2-5A+2I=0`

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A DAS GUPTA-Some New Pattern Problems-Exercise
  1. The general solution of the equation (d^3 y)/ (dx^3) +y=0 is

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  2. The value of |U| where U= [(2,3,4),(3,4,5),(4,5,6)]

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  3. show that matrix A = [(3,4),(1,2)] satisfies the equation A^2-5A+2I=0

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  4. The sum of the elements of the product [3, 2,0] and [(3),(2), (0)] is

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  5. The rank of matrix [(x, -1, 0), (0, x, -1), (-1, 0,x)] is 2 then value...

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  6. One of the eigenvalues of A is where A= [(2,5),(7,4)]

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  7. The denary number 43125 in the scale of 6 will be represented by

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  8. The sum of the numbers 2053 and 412 in the scale of seven is

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  9. The product of the numbers 5623 and 6 in the scale of eight is

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  10. Which of thefollowing is true?

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  11. Let a = b (mod n), a'= b' (mod n) and d, m in N. Then which of the f...

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  12. If 5x = 3(mod 7) then find x

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  13. The value of lambda for which the equation lambda^2 - 4lambda + 3+ (la...

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  14. The value of (lambda, mu) for which (lambda - mu) x^3 - (lambda - 2) x...

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  15. The combined equation of asymptotes to the hyperbola x^2 + 4xy + 3y^2...

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  16. 17^22 - 1 is a multiple of

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  17. The highest power of 7 which divides 1000 ! is

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  18. The equation of conjugate hyperbola of x^2/8 - 3y^2/8 =1

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  19. The parabola circumscribing /\ABC and passing through the point (4, 4)...

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  20. The parabola circumscribing /\ABC{(0,0), (4,4), (4,-4)} and passing th...

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