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If A,B,C are the angles of a triangle, t...

If A,B,C are the angles of a triangle, then
`Delta=|{:(sin^(2)A, cotA,1),(sin^(2)B, cotB,1),(sin^(2)C,cotC,1):}|=`…………

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Fill in the blanks : The determinant of a triangular matrix is equal...

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

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  3. If A,B,C are the angles of a triangle, then Delta=|{:(sin^(2)A, cotA...

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  4. Fill in the blanks : If A is an invertible matrix of order nxxn (nge...

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  5. The sum of the products of elements of any row with the co-factors of ...

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  6. Fill in the blanks : If A is a matrix of order 3xx3, then the number...

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  7. Fill in the blanks : If f(x) = |(0,x-1,x-2),(x+1,0,x-3),(x+2,x+3,0)|...

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  8. If x=-9 is root of |{:(x,3,7),(2,x,2),(7,6,x):}|=0, then other two roo...

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  9. Fill in the blanks : If k is a non-zero real number and A is an inve...

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  10. Fill in the blanks : If A and B are invertible matrices of the same ...

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  11. Fill in the blanks : The minimum value of |(1,1,1),(1,1+sintheta,1),...

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  12. True or False : It is possible to find determinant of a matirx of or...

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  13. True or False : The determinant of a skew-symmetric matrix is always...

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  14. True or False : If A is a square matrix and |A| ne 0, then (A^3)^-1 ...

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  15. True or False : If A is a square matrix of order 2, then |adj A | = ...

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  16. True or False : If A is any matrix of order 2xx2, then adj (adj A ) ...

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  17. True or False : If A any matrix of order nxxn (nge2), then adj (Adj ...

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  18. |A^(-1)| ne |A|^(-1) , where A is non-singular matrix.

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  19. True or False : If A and B are square matrices of order 3,|A| = 5 an...

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  20. True or False : Determinant of a diagonal matrix is equal to the sum...

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