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Evaluate |(1,2,2^2),(1,3,3^2),(1,4,4^2)|...

Evaluate `|(1,2,2^2),(1,3,3^2),(1,4,4^2)|`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Evaluate |(-1, 0,0),(2,3,0),(-6,-4,5)|

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  2. Evaluate |(2,-3,4),(0,-7,0),(0,0,i)|

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  3. Evaluate |(1,2,2^2),(1,3,3^2),(1,4,4^2)|

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  4. Find x if |(2x, ,5),(8,x)| = |(6,-2),(7,3)|

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  5. If A is a skew symmetric matrix of order 3, then write the value of de...

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  6. Find the cofactor of (2,3)th entry in the matrix [(1,-2,0),(0,3,6),(5,...

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  7. Write the value of det (2I3)

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  8. If A and B are symmetric matrices of the same order, then

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  9. If det A = -3 and A is of order 2 xx 2 find the value of det (-6A)

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  10. Write the value of |(sin 10^@ - cos10^@),(sin 80^@ cos80^@)|

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  11. If A of order n xx n and det A = k, then find det (adj A).

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  12. The value of |[[1,a,b+c],[1,b,c+a],[1,c,a+b]]| is

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  13. If omega = (-1+sqrt3i)/2 , find the value of |(1, omega, omega^2),(ome...

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  14. Compute |(2,a,3),(4,b,6),(6,c,9)|

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  15. Find the area of the triangle whose vertices are (0,0),(a,0) and (0,b)

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  16. For what x, are the points (1,x), (2,2x), (3,3x) collinear?

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  17. Write down the adjoint of the matrix [(2,-1),(4,3)]

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  18. If A^-1 = [(0,1),(1,0)] and B^-1 = [(1,0),(0,1)], find (AB)^-1

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  19. Is the following system of equations consistent? 2x - 3y = 4, 3x + 2 y...

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  20. Find the number of solutions of the system of equations. 3x + 2y = 5, ...

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