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Let A = [[1,sintheta,1],[-sintheta,1,sin...

Let `A = [[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]], where 0lethetale2pi` Then :

A

Det(A)=0

B

`Det(A)in(2infty)`

C

`Det(A)in(2,4)`

D

`Det(A)in[2,4]`

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MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. Select the Correct Option If A is an invertible matrix of order 2, the...

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  2. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

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  3. Let A = [[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]], wher...

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  4. If |(2x,5),(8,x)|=|(6,-2),(7,3)| , write the value of x.

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  5. The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. u...

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  6. If A,B and C are angles of a triangle, then the determinant: {:|(-1,...

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  7. If determinant A is of order 2xx2 and |A|=3, then the value of |2A| is

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  8. Write the value {:|(x,x+1),(x-1,x)|

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  9. If matric A = {:|(3-2x,x+1),(2,4)| is singular, then x is equal to

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  10. The value of x from the equation {:|(x,2,3),(4,x,1),(x,2,5)|=0 is

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  11. If A is a square matrix of order 3 such that |adjA|=16, then |A| is

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  12. If {:|(2,3),(4,5)| = |(x,3),(2x,5)|, then the value of 'x' is ………..

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  13. The cofactor of a13 in {:|(2,-3,5),(6,0,4),(1,5,-7)| is

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  14. If A= diag (4, 2, 1) then det. A is equal to :

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  15. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

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  16. If a1,a2,a3,……………….. are in A.P., then the value of: {:|(a1,a2,1),(a...

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  17. The system of linear equations: 3x+y-z=2,x-z=1 and 2x+2y+az=5 has un...

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  18. Let I denote the 3xx3 and P be a matrix obtained by rearranging the co...

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  19. If A is matrix of order 3,such that A(adjA)=10I. Then |adjA|=

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  20. Without expanding the determinant at any stage, prove that {:|(x+1,x+2...

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