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determinant |"cos theta sin theta -si...

determinant `|"cos theta sin theta -sin theta cos theta

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CENGAGE-DETERMINANTS-All Questions
  1. The system of equations -2x+y+z=a, x-2y+z=b, x+y-2z=c, has: (a)...

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  2. Show that if x1, x2, x3!=0 |x1+a1b1a1b2a1b3a2b1x2+a2b2a2b3a3b1a3b2x3+...

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  3. determinant |"cos theta sin theta -sin theta cos theta

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  4. If Deltar =|[2^(r-1) ,2.3^(r-1), 4.5^(r-1)],[alpha,beta,gamma],[2^n-1,...

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  5. The values of k in R for which the system of equations x+k y+3z=0,k x...

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  6. A determinant of second order is made with the elements 0 and 1. Fi...

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  7. If a ,b , c are nonzero real numbers such that |b cc a a b c a a bb c ...

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  8. Prove that the determinant {:[( x, sin theta ,cos theta ),( -sin thet...

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  9. Consider the determinant f(x)=|0x^2-a x^3-b x^2+a0x^2+c x^4+b x-c0|dot...

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  10. Find the value of |1 2 4-1 3 0 4 1 0|

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  11. Consider the system of the equation k x+y+z=1,x+k y+z=k ,a n dx+y+k z=...

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  12. Each question has four choices a, b, c and d, out of which only one is...

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  13. If a ,b ,c in R , then find the number of real roots of the equat...

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  14. Delta = |(a, a^2, 0),(1, 2a+b,(a+b)),(0, 1, 2a+3b)| is divisible by ...

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  15. Without expanding at any stage, prove that the value of each of the...

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  16. If a,b,c are all positive, and are p^(th), q^(th) and r^(th) terms of ...

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  17. If the entries in a 3xx3 determinant are either 0 or 1, then the grea...

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  18. The value of the determinant of n^(t h) order, being given by |x1 11x1...

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  19. Solve the equation {:[( x+a,x,x),(x,x+a,x),(x,x,x+a) ]:}=0,ane 0

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  20. If a1b1, c1,a2b2c2a n da3b3c3 are three digit even natural numbers and...

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